324,042 research outputs found

    Gassmann Equivalence and Decompositions of Jacobians

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    This thesis deals with the concept of Gassmann equivalence and its application in obtaining isogenous and isomorphic products of Jacobians of algebraic curves. We study Gassmann equivalent G-sets with a particular emphasis on rationally, locally integral and integrally Gassmann equivalent G-sets. We develop MAGMA functions that verify the only known example of transitive integral Gassmann equivalent G-sets due to Leonard L. Scott and could potentially be used to obtain new intransitive examples. Our main results generalize theorems of D. Prasad and C. S. Rajan, D. Prasad and D. Arapura et al. In particular, we show that if C is an algebraic curve, G <= Aut(C) a finite group and X,Y rationally Gassmann equivalent G-sets then the Jacobians J[(C x X)/G] and J[(C x Y)/G] are isogenous. Moreover, if instead the G-sets X,Y are integrally Gassmann equivalent the above isogeny becomes an isomorphism

    Macrocnemis Theischinger, Gassmann & Richards, 2015, gen. nov.

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    &lt;i&gt;Macrocnemis&lt;/i&gt; gen. nov. &lt;p&gt; &lt;b&gt;Etymology.&lt;/b&gt; The generic name is a composite of &lt;i&gt;macro&lt;/i&gt;, meaning large, and &lt;i&gt;cnemis&lt;/i&gt;, meaning tibia (= shin), the basis of the name for several genera supposed to be close allies of the new genus.&lt;/p&gt; &lt;p&gt; &lt;b&gt;Diagnostic characters.&lt;/b&gt; Very large, long-bodied, narrow-winged damselfly, the male black with pale yellowish green thoracic and largely pale brownish-yellow abdominal markings, including two sets of lateral patches each on segments 3&ndash;7. Antennae in both sexes with relative length of first and second joints about 1:2. Posterior lobe of male pronotum upright, more or less rectangular with the top corners drawn out into tongue-like lobes. Female prothorax simple, posterior lobe laterally protruded. Ac located approximately mid-way between levels of Ax1 and Ax2. Quadrilateral widening distally, that of Fw with basal side approximately 1/2 as long as costal and distal side and 1/3 as long as posterior side, that of Hw with basal side 1/4&ndash;1/3 as long as costal side, approximately 2/3 as long as distal side and 1/5 as long as posterior side. Three cells between distal end of quadrilateral and level of subnodus. R4 arising a little before subnodus, IR3 at subnodus. Majority of cells in distal half of wings (between R2 and R4) squarish. Distal margin of wings weakly crenulated. Abdomen with S9 and S10 not significantly widened; markings largely pale brownish yellow and including two sets of lateral patches each on segments 3&ndash;7. Male with cerci almost as long as, and stouter than, the simple slender paraprocts. Ligula simple, with a pair of medium-sized apical lobes. Ovipositor valvae reaching slightly beyond end of abdomen, not surpassing cerci.&lt;/p&gt;Published as part of &lt;i&gt;Theischinger, G., Gassmann, D. &amp; Richards, S. J., 2015, Macrocnemis gracilis, a new genus and species of Idiocnemidinae (Zygoptera: Platycnemididae) from Papua New Guinea, pp. 429-436 in Zootaxa 3990 (3)&lt;/i&gt; on page 430, DOI: 10.11646/zootaxa.3990.3.7, &lt;a href="http://zenodo.org/record/245965"&gt;http://zenodo.org/record/245965&lt;/a&gt

    MATTALP (Pilatusbahn.)

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    Aus: Pilatus-Bahn / éd.: H. Pohlmann. - 1889 (Bâle : Gassmann). Nach S. 16Blick auf die Mattalp und den Esel. Auf der Bahnstrecke zwei winzige Züg

    OBERSTE BAHNSTRECKE.

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    Legende unter dem Bild: Hotl. Pilatuskulm, Hotl. Bellevue, Gipfel des "Esel".Aus: Pilatus-Bahn / éd.: H. Pohlmann. - 1889 (Bâle : Gassmann). Nach S. 32Blick von den Chilchsteine auf Kulmhang, die beiden Hotels und den Esel mit der Bahnstreck

    FIGURES 11–14 in Macrocnemis gracilis, a new genus and species of Idiocnemidinae (Zygoptera: Platycnemididae) from Papua New Guinea

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    FIGURES 11–14. Macrocnemis gracilis, ligula (penis): 11) ventral; 12) lateral; 13) ventrolateral; 14) posterolateral. photos D. Gassmann/K. Ulmen.Published as part of Theischinger, G., Gassmann, D. & Richards, S. J., 2015, Macrocnemis gracilis, a new genus and species of Idiocnemidinae (Zygoptera: Platycnemididae) from Papua New Guinea, pp. 429-436 in Zootaxa 3990 (3) on page 434, DOI: 10.11646/zootaxa.3990.3.7, http://zenodo.org/record/24596

    WOLFORTBACH-VIADUCT DER PILATUSBAHN.

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    Aus: Pilatus-Bahn / éd.: H. Pohlmann. - 1889 (Bâle : Gassmann). Nach S. 8Blick aus der Schlucht auf den Viadukt und den darüberfahrenden Zug. In der Tiefe der Alpnacher See, über der Brücke Blick nach Osten in die Berge mit Glärnisc

    Macrocnemis gracilis, a new genus and species of Idiocnemidinae (Zygoptera: Platycnemididae) from Papua New Guinea

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    Theischinger, G., Gassmann, D., Richards, S. J. (2015): Macrocnemis gracilis, a new genus and species of Idiocnemidinae (Zygoptera: Platycnemididae) from Papua New Guinea. Zootaxa 3990 (3): 429-436, DOI: 10.11646/zootaxa.3990.3.

    Idiocnemis lakekamuensis Gassmann & Richards 2019, sp. nov.

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    Idiocnemis lakekamuensis sp. nov. (Figs 1, 3, 5, 9, 11, 14, 16–17, 20–21, 24 –25, 28) urn:lsid:zoobank.org:act: E6CCE2B9-ECA7-4445-B1CE-3 D74038 C3370 Holotype. &male; Papua New Guinea, Gulf Province, Lakekamu Basin: 1 km south of Ivimka Camp (Camp coordinates: 146 ° 29.761'E, 7 ° 44.117'S, ~ 120 m a.s.l.), adjacent to seepage, 24.xi.1996 (field envelope no. 21(1)) (SAMA 07-001510). Deposited in the South Australian Museum. Paratypes. Papua New Guinea, Gulf Province, Lakekamu Basin. All specimens leg. S.J. Richards, collected from within ~ 1.5 km SSW of the following coordinates: 146 ° 29.761'E, 7 ° 44.117'S, at altitudes between 100–120 m a.s.l.: 1&male;, ‘ 1 km transect’, south of Ivimka Camp, in forest, 22.xi.1996, field envelope no. 153 (ZFMK ODO 2018 / 1); 1&male;, ridge trail, beside river, sitting on dry stick, 22.xi.1996, field no. 168 (SAMA 07-001511; 1&male;, Ivimka Camp, 29.xi.1996, field no. 142 (SAMA 07-001512); 2&male;&male;, 1.5 km south of Ivimka Camp, 27.xi.1996, field no. 148 (SAMA 07-001513 – 4); 1&male;, 500 m south of Ivimka Camp, perched in shade, 18.xi.1996, field no. 188 (RMNH); 1&female;, approx. 500 m south of Ivimka Camp, on Bulldog Track, 20.xi.1996, field no. 145 (SAMA 07- 001515); 1&female;, Bulldog Track, 1 km south to Ivimka Camp, 17.xi.1996, field no. 149 (SAMA 07-001516); 1&male;, 1&female;, site #4, garden, in flight near stream, 29.xi.1996, field no. 141 (SAMA 07-001517 – 18); 1&male;, trickle along 1 km transect nr. Ivimka Camp, 24.xi.1996, [apps. lacking], field no. 167 (SAMA 07-001519); 1&male;, Ivimka Camp, 24.xi.1996, field no. 21(2) (SAMA 07-001520); 1&male;, Ivimka Camp, 29.xi.1996, field no. 184 (SAMA 07-001521); 1&male;, 500 m southeast of Ivimka Camp, 16.xi.1996, field no. 156 (SAMA 07-001522); 1&male;, Ivimka Camp, 27.xi.1996, field no.147 (SAMA 07-001523). Etymology. The species is named after the Lakekamu Basin in Papua New Guinea’s Gulf Province, the only location from where it has been recorded. Description of the holotype. Head. Labium dirty yellow, with median incision roughly arc-shaped. Labrum yellow-orange. Genae dark brown laterally, dirty yellow ventrally. Anteclypeus medium to dark brown; postclypeus brown-black. Frons and vertex, including antennal sockets, purple. Vertical black marking small, confined to area between ocelli, medially only slightly divided, posteriorly diverging, continuing laterally on occipital ridge from where it connects to black coloration of rear of head (Figs 1, 3). Thorax. Prothorax with median lobe only slightly convex in lateral view; posterior lobe roughly subrectangular in outline, posterior edge very slightly rounded; dorsum of prothorax black, diffusely limited against a yellow lateral area which extends onto mesostigmal plates; pleura with lower half black, except for a diffuse subtriangular intrusion originating from lateral bright marking which covers upper half of pleura. Synthorax (Fig. 5) with antehumeral stripe covering almost entire mesepisternum, dorsal carina marked with black; antehumeral stripe yellow-brown, with remnants of purple (probably original coloration). Metepisternum with posterior three-fourths covered by a purple bar which either completely (left side), or nearly (right side), encircles a semi-oval black spot in its middle, the latter forming a narrow connection to posterior part of black mesepisternal marking (on left side); anterior fourth of metepisternum dark black, distinctly limited against purple marking. Metepimeron with anterior part black except for a bright yellow stripe traversing its lower half horizontally and, posterior to the latter, a medium brown stripe which is somewhat bulged out posteriorly. Legs yellow-orange, joints and adjacent areas darkened. Underside of synthorax pale yellow, with a pair of black stripes. Wings. Hyaline. Arc inserting at or slightly distal (right HW) to Sn. R4 distal to Sn, less distinctly so in forewings. Pt rhombic, medium to dark brown. FW with 17 Px, HW with 15 Px. Abdomen. Ground colour medium to dark brown, with bright markings as follows (Fig. 1): S1 with a roughly half-circular dorsal purple marking, S2 with a sub-quadrangular but posteriorly widened purple marking, S3 with a yellow-orange basal dorsal spot and a subdistal ventral bright marking of same colour; S4 to 5 with bright markings similar to those in S3 but less distinct. S6 to 7 with no pale markings except for a very weak and diffuse yellow ventro-basal marking on S6. Slightly more than posterior dorsal half of S8 as well as entire dorsal surface of S9 with a greyish-brown (probably originally purple) marking, its corners rounded, anterior margin rather straight. Superior appendage with small subbasal process, apically rounded, and a subdistal almost finger-shaped subacute process which is longer than subbasal one (Figs 9, 11). Colour of appendages dark brown, inner tips pale yellow. Measurements holotype (mm). FW 21.5, HW 20.0; abdomen including appendages 31.5. Variation in males. Generally similar to the holotype. The metepisternal black spot within the purple bar can be either irregular or almost perfectly rectangular. In two specimens it is entirely enclosed by the bright mesepimeral marking on both sides of the synthorax. Measurements (mm). FW 20.0–22.5, HW 18.5–21.0 (n = 13); abdomen including appendages 29.5–33.5 (n = 9). Female (paratypes). Head. Labrum, genae and frons dirty-yellow, ante- and postclypeus intermingled with brown. Antennal segments dirty-yellow to orange-brown. Diffuse black vertical marking extends as a broad stripe between eyes, intermingled with some yellow around ocelli and antennae, continuing posteriorly in two black lines lateral to an orange stripe marking occipital ridge. In one specimen, black marking reduced to traces of black with largest portion of black centred around ocelli. Two pale turquoise subtriangular postocular spots present (original coloration probably faded) (Fig. 14). Rear of head yellow. Thorax. Prothorax with pronotum dark bluish-black, median pronotal lobe with a pair of diffuse black spots close to border with anterior lobe (Fig. 16). Posterior pronotal lobe subrectangular, posterior edge only very slightly bulged out medially (Figs 17, 20). Synthorax with colour pattern similar to male, but far less distinct. Mesepisternum with a diffuse pale yellow marking adjacent to anterior third of humeral suture and a weak yellow marking well before the suture’s posterior end; mesepisternum otherwise diffuse brownish, lacking clearly recognizable antehumeral stripes. Mesepimeron with anterior part black as in male, but with diffuse yellow markings at the areas where the male has its grey-purple markings. Metepisternum and metepimeron as in male, but less distinct. Wings. Pt asymmetric, anterior side distinctly longer than posterior side. Otherwise as in male. FW with 16–17 Px, HW with 13–14 Px. Abdomen. Ground colour black, with light markings as follows. S1 with pair of diffuse pale turquoise spots covering posterior two-third of dorsal surface, separated from each other except for a thin connection along border of S1 and S2. S2 with a pair of elongate pale yellow dorsal spots each roughly shaped as an asymmetric triangle. S3–7 dorsally with a distinct basal pale yellow spot and a smaller subdistal spot of same colour, both losing intensity towards posterior segments. S8–9 with a pair of large diffuse but (except for the teneral specimen from Bulldog Track [field no. 149]) distinctly separate pale yellow spots. S10 with a confluent pair of diffuse pale yellow spots, covering roughly posterior half of dorsal surface of that segment, isolating a black triangular marking on its anterior dorsal half. Cerci pale yellow (Figs 24, 25). Upper lateral part of valvae and tergite of S 8 pale yellow. Measurements (mm). FW 20.0–21.5, HW 19.0–20.0 (n=3); abdomen including valvae 27.5–29.5 (n=3). Differential diagnosis. The male of this species is readily identified by the colour pattern on its head. The central black marking on the vertex, which is subquadrangular in most members of the species group, is distinctly reduced to form a rather diffuse black area filling the space between the three ocelli. In only two other species, I. dagnyae Lieftinck, 1958, and I. mertoni Ris, 1913, is the black marking occasionally reduced as well, but never to such an extent as in I. lakekamuensis sp. nov. The male of the present species is also clearly distinguished from congeners by the shape of the superior appendage (Figs 9, 11) which is characterized by a short and pointed subbasal process and a hook-like, slightly pointed subdistal process. This arrangement is distinctly different from that in most other species of the Idiocnemis bidentata group where the subbasal process is shaped as a prominent subtriangular protrusion. Only I. pruinescens has a similarly shaped superior appendage; however, in that species the subbasal process is longer than in the present species, and rather blunt (cf. Gassmann 2000). The female of I. lakekamuensis sp. nov. can be recognized by its posterior pronotal lobe which has a characteristic subrectangular shape not similarly found in any other member of the species-group. The female’s head colour pattern is similar to that in I. inaequidens Lieftinck, 1932, I. schorri Gassmann, Richards & Polhemus, 2016, and the new species described below, in having the vertex of the head nearly entirely covered in black. The extent of the black marking, however, is less than in I. inaequidens and I. schorri, with the areas around the antennae left free of black, but the black coloration is more extensive than in the new species described below. Distribution and habitats. Southern Papua New Guinea (Fig. 28). Known only from the Lakekamu Basin in Gulf Province where I. lakekamuensis sp. nov. was found perched in sunlight on low vegetation along small, clearflowing seepages and streams in lowland rainforest. A detailed description of the vegetation, climate, fauna and flora of the type locality can be found in Mack (1998).Published as part of Gassmann, Dirk & Richards, Stephen J., 2019, Two new damselflies of the genus Idiocnemis Selys from Gulf Province, Papua New Guinea (Odonata: Platycnemididae), pp. 121-140 in Zootaxa 4560 (1) on pages 122-128, DOI: 10.11646/zootaxa.4560.1.6, http://zenodo.org/record/262742

    Macrocnemis gracilis Theischinger, Gassmann & Richards, 2015, sp. nov.

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    Macrocnemis gracilis sp. nov. Figs 1–16 Holotype. &male; (SAMA 07-001406): Papua New Guinea, Hindenburg Range, Bilbilokabip (5.1203 o S, 141.2512 o E, 1770 m asl), 14 -II- 2013, S. J. Richards leg. Paratypes. 3 &male; (SAMA 07-001407, RMNH, ZFMK ODO 20150001), same locality and collector, 12–17 -II- 2013, 2&female; (SAMA 07-001408, RMNH) same details as holotype, collected 12 and 22 -II- 2013, respectively. Etymology. Gracilis (= Latin for slender) owing to the very long and slender abdomen of the male. Description of the holotype male. Head. Labium with median incision U-shaped, largely yellow; mandibles basally pale green, otherwise brown to black; labrum dull pale green, basally very narrowly and in dorsal half along midline broadly black; anteclypeus black; genae, postclypeus and anterior frons up to antennal bases pale bluish green, a narrow black line separating postclypeus and frons; top of frons, pedicel, vertex and postocular lobes largely black, a spot each side of median ocellus and anterior to each lateral ocellus and a narrow occipital line pale brownish yellow; small postocular spots pale green; postgenae in preserved specimen largely dull yellow. Thorax. Pronotum medially more or less broadly black, laterally yellow; posterior lobe upright, more or less rectangular with top corners drawn out into tongue-like lobes; episternum about half black and half yellow; epimeron largely black, yellow only along ventral margin. Synthorax black with wedge-shaped antehumeral patch, parts of dorsal half of mesepimeron and more than anterior half of metanepisternum, almost all of metepimeron and metapostepimeron, two anterior spots and posteroventral corner of mesokatepisternum and only posteroventral tip of metakatepisternum pale green to dull yellow; metapostcoxae and poststernum dull yellow; coxae and trochanters largely dull yellow, femora largely dull to greyish and brownish yellow lined with blackish grey, foretibia greyish black, meso- and metatibia with inner face greyish black, otherwise pale greyish to dark yellowish brown; all spines (6 doubles and 1 single on fore- and mesotibia, 7 doubles and 1 single on metatibia) and tarsi black; claws greyish to yellowish brown with small secondary tooth. Wings. Membrane hyaline; venation blackish brown. Wing length:greatest width ratio 6.0– 6.3; wing tips very weakly crenulated from 5 cells beyond pterostigma to R 4 meeting wing margin; 16–17 / 14 postnodals; pterostigma about 1 ½ times as long as wide, parallelogram-shaped, greyish brown; overlying generally 1 cell. Other characters as given under Macrocnemis gen. nov. Abdomen. Largely black with predominantly pale brownish yellow markings including in S 1 approximately apical half and ventral margin, in S 2 much of ventral margin; in each of S 3–7 an ill-defined basal ventrolateral patch covering 1 / 6 or less and an even less well-defined ventrolateral patch covering more than subapical 1 / 6 of segment length, in S 8 much of sides, in S 9 apical half and in S 10 almost all of it. S 2 in addition with a well-defined yellowish-green dorso-median patch over approximately medial third of its length. Anal appendages pale brownish yellow with cerci boomerang-shaped with dorsal bump beyond mid-length and bifid apex shaped similar to a boxing glove and paraprocts slightly longer than cerci, from wide and deep at base tapering into slightly curved/ sinuous slender rods (Figs 8–10). Ligula. Ligula in ventral view narrow, elongate (Fig. 11). Terminal segment with apical lobes medium-sized, lanceolate (Fig. 12), slightly twisted in posterior lateral view (Fig. 14). Limbus membranosus short, covered with spine- or setae-like processes (Fig. 13). Measurements. Hw 30.0 mm; abdomen including anal appendages 46.2 mm. Variability. All paratypes agree well with the description of the holotype. The range of the species’ postnodals is 16–17 / 13–14, of hindwing length 30.0– 32.9 mm, of abdomen length (including appendages) 46.2 –49.0 mm. Female. Head. Labium dirty to bright yellow, lateral (movable) hook black, end-hook yellow; mandibles dirtyyellow, distal parts brown to black; labrum obscure brown-black to olive-green, a weak light-brown marking to either side of the medio-basal oval black depression; anteclypeus dark brown; postclypeus dirty brown-black to yellowish-green; frons covered by a yellowish-green stripe, laterally extending up to eye margins, dorsally up to antennal scapi, at that level somewhat intermingled with black; antennae medium to dark brown; vertex and occiput dark greenish-brown to black, intermingled with rusty areas, the latter colour concentrated around and between ocelli; a diffuse dark spot attached to inner side of posterior ocellus, respectively; area between ocelli and occipital ridge conspicuously deep black, either entirely so or marked by a distinct black line. Rear and underside of head yellowish-white. Thorax. Prothorax with both halves of median lobe distinctly bulgy in lateral view; posterior pronotal lobe not upright, a little more than half length of median lobe, simpler shaped than in male and smoothly rounded, with sublateral areas not protruded but slightly emarginate (almost trapezoid-shaped in dorsolateral view), lateral edges distinctly protruded but rounded. Colour of prothorax, legs and synthorax similar to male but generally paler and of less contrast. Synthorax with black markings less extensive than in male, that on upperside of synthorax restricted to cover dorsal carina. Underside of synthorax yellowish-white. Wings. 15–16 / 13 postnodals; length:greatest width ratio 6.2. Abdomen. Colour similar to male but S 8 to 9 with weaker diffuse yellow-white markings, roughly covering lateral areas of posterior halves of segments and entire ventrolateral area of S 8. S 10 dark brown, laterally with a diffuse medium brown area at either side. Cerci, valvae and styli largely deep black, but upper part of valvae, visible part of ovipositor and distal fifths of styli light brown. Rear of abdomen bright yellow, framed by black. Measurements. Hw 32.5 mm; abdomen including styli 44.5–45.5 mm. Diagnosis. The largest species of idiocnemidine Platycnemididae from New Guinea (with wings at least 30 mm, abdomen almost 50 mm); three cells between quadrilateral and subnodus and distal margin slightly but distinctly crenulated in both wings; cerci and paraprocts of male subequal in length. Habitat. The type locality, Bilbilokabip, is a small hamlet used by local landowners as a temporary shelter when hunting and gardening in the upper Kam Valley. The small clearing containing three huts is surrounded by extremely wet, moss-covered mid-montane rainforest where Macrocnemis gracilis perched on low vegetation overhanging or adjacent to small (1–2 m wide; Fig. 15) clear and heavily shaded streams. It was also encountered, but was less common, along a wider (5–10 m; Fig. 16) torrential stream that flooded regularly after heavy rain during the survey period. The streams where M. gracilis were encountered all had extensive canopy cover and dense riparian vegetation (Figs 15, 16); the species was not encountered along streams where canopy cover had been opened during establishment of gardens despite extensive searches in more disturbed habitats.Published as part of Theischinger, G., Gassmann, D. & Richards, S. J., 2015, Macrocnemis gracilis, a new genus and species of Idiocnemidinae (Zygoptera: Platycnemididae) from Papua New Guinea, pp. 429-436 in Zootaxa 3990 (3) on pages 430-435, DOI: 10.11646/zootaxa.3990.3.7, http://zenodo.org/record/24596
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