101,240 research outputs found
On subquotients of the étale cohomology of Shimura varieties
No full textWe study the conditions imposed by conjectures of Arthur and Kottwitz on the Galois representations occurring in the cohomology of Shimura varieties
S=T for Shimura varieties and moduli spaces of p-adic shtukas
No full textWe prove the S=T conjecture proposed by Xiao-Zhu in \cite{2017arXiv170705700X}, making use of Scholze's theory of diamonds and v-stacks and Fargues-Scholze's geometric Satake equivalence. We deduce the Eichler-Shimura relation for Shimura varieties of Hodge type
X-ray scattering from crystalline SiO2 in the thermal oxide layers on vicinal Si(111) surfaces
No full textShimura, T., Misaki, H. & Umeno, M. (1996). Acta Cryst. A52, C465, https://doi.org/10.1107/S0108767396080932
S=T for Shimura Varieties and Moduli Spaces of p-adic Shtukas
No full textWe prove the conjecture proposed by Xiao-Zhu in
\cite{2017arXiv170705700X}, making use of Scholze's theory of diamonds and
v-stacks and Fargues-Scholze's geometric Satake equivalence. We deduce the
Eichler-Shimura relation for Shimura varieties of Hodge type.Comment: Exposition improved. In particular, the strange notation of using V
to denote the special fiber is discarde
Goera rupicola Nozaki & Shimura 2020, sp. nov.
No full textGoera rupicola sp. nov. (Figs. 1C, 2, 3) Goera sp.: Shimura et al. 2014, 47, 59. Diagnosis. The male of this species can be readily recognized from congeneric members by the simple tergum X bearing only a median dorsal process. The female of this species is distinguishable from those of other known Japanese species by the shape of the supragenital plate: In ventral aspect, the posterior margin of the supragenital plate is slightly concave in this species, but convex (round or acute) in other known Japanese species (Nozaki & Tanida 2006; Nozaki 2017). The larva of this species is easily distinguishable from that of G. akagiae distributed in Amami-Oshima: The head is mostly reddish brown in this species, but bears a pale transverse band posterodorsally in G. akagiae (Nozaki 2018). Adult (Figs. 2A, 2B, 2C, 2I). Body, wings, antennae dark brown in alcohol. Forewings 4.8–5.8 mm long (n = 8) in male, 4.8–6.3 mm long (n = 5) in female. Wing venation typical for genus. Antennae slightly longer than forewings; scape long, approximately 2 times longer than head length in male, 1.5 times longer than head length in female. In male, maxillary palpi with 2nd segment long and triangular in frontal aspect; large membranous lobe arising from base of 2nd segment, elastic, constricted in middle, with scales on mesal surface and long setae on apical half of outer surface, with finger-like lobe apicomesally. Tibial spurs 2-4-4, outer apical spur of each foretibia less than 1/2 length of inner one. Male abdominal sternite VI with 8–15 processes (n = 8); central one spatula-shaped, longer than other spine-like ones. Female abdominal sternite VI bearing 8–10 minute processes (n = 5), central one larger than others. Male genitalia (Figs. 2 D–2H). Segment IX short in lateral aspect, ventromesal lobe short triangular in ventral aspect. Preanal appendages very long, strongly sclerotized, fused with segment IX; each with apex directed ventromesad, narrow in lateral aspect, broader apically in dorsal and ventral aspect. Tergum X simple; median dorsal process (Figs. 2D, 2E m.d.p.) banana-shaped in lateral aspect, curved dorsad, long triangular with blunt apex in dorsal aspect, approximately 2/3 length of preanal appendages; ventrolateral processes absent. Inferior appendages, each with basal segment large, its posterior margin angulate about 1/3 from base in lateral aspect, with short blunt mesal projection in ventral aspect; distal segment with dorsolateral process smooth and triangular in lateral aspect, rectangular in ventral aspect; ventromesal process long and triangular in lateral aspect, finger-like in ventral aspect. Phallus thick, spoon-like in dorsal aspect, membranous apically. Female genitalia (Figs. 2 J–2K). Tergum X fused with preanal appendages, thumb-like in lateral aspect, each lobe triangular in dorsal aspect. Lamellae (Fig. 2J, 2L la) short rectangular in lateral aspect. Supragenital plate (Fig. 2L s.p.) trapezoidal, posterior margin slightly concave in middle. Gonopod plate broad, approximately 1.3 times as wide as length in ventral aspect; its apicomesal lobe trapezoidal in ventral aspect, with short round projection apically. Spermathecal sclerite approximately half length of gonopod plate; posterodorsal part strongly sclerotized, visible in ventral aspect (marked with an arrow in Fig. 2L). Final instar Larva (Figs. 1C, 3A). Length up to 7 mm. Head 0.71–0.82 mm wide (n = 10), mostly reddish brown, with transverse ridge at middle; primary seta 2 longest, approximately twice as long as seta 3; primary setae 14 and 15 located close together, both approximately 2/3 length of seta 2; seta 17 short, fine. Pronotum large, central part dome-shaped, flat laterally, each lateral margin thickened, with pair of short acute processes anterolaterally. In mesonotum, each mesal sclerite forming rounded square, with transverse ridge at posterior 1/4; each lateral sclerite with narrow anterior part and triangular posterior part, separated by ridge at middle; mesepisternum protruding anterad as long horn-like process in dorsal aspect. Metanotum with 3 pairs of sclerotized setal areas, with row of setae between sa 2. Abdominal gills present on following segments: dorsal and ventral gills on abdominal segment II (posterior) and on segments III to VII (anterior and posterior), occasionally dorsal gills on segment VIII (anterior); gills on segment II usually single but rarely forked; gills on segments III to VII single, two- or three-branched; gills on segment VIII single. Lateral fringe present on posterior part of segment III to segment VIII, forked lamellae present laterally on segments IV to VII. Chloride epithelia long oval, present on segments VI to VIII dorsally, on segments IV to VII ventrally. Anal claws each with one accessory hook dorsally. Pupa (3E–3H). Only pupal exuviae available for this study. Antennae approximately same length as body. Mandibles long triangular apically in dorsal aspect, without tooth. Labrum with five pairs of long, apically curved-setae near anterolaterally, with pair of short fine setae anteromesally. Tarsus of each midleg with sparse fringe of setae. Abdominal tergum I with pair of spined ridges; anterior hook plates present on terga III to VII, each with two to four spines; tergum V with pair of posterior hook plates, each with more than 20 spines. Lateral fringe present from posterior part of segment V to VIII. Abdominal gills present, single, two- or three-branched; arrangement unconfirmed because of damaged specimens. Anal process slender, with minute spines laterally; each apex curved dorsomesad, with tiny teeth. Case (3B–3D, 3I–3K). Case of final instar larva up to 7 mm long, constructed of small rock fragments, with three to five larger stones along each side; posterior closure slightly bulging above center, pocket-like, with dorsal slit visible only in posterodorsal view (Fig. 3D). In pupal case, anteroventral edge fastened with silk to substrate; anterior opening closed by small stone with silk; posterior end closed by silk, with 8 or more slits along ventral margin. Holotype. Male (in alcohol). Amami-Oshima: Wet cliff face, Yuwangama, Yamato-son, Kagoshima, 28.355°N, 129.417°E, alt. 100 m, larva collected on 15.iii.2019 by S. Kushibiki, emerged during the period 13–26.v.2019, reared by N. Shimura (CBM-ZI 0177556). Paratypes. 3 males, 4 females, same data as holotype (CBM-ZI 0177557–0177563); 3 males, same locality as holotype, larvae collected on 15.iii.2019, adults preserved on 15.v.2019, all by S. Kushibiki (CBM-ZI 0177564– 0177566). Other specimens examined. Amami-Oshima: 3 larvae, same locality as holotype, 29.iii.2014, N. Shimura (NS); 1 female with its larval and pupal exuviae, same locality as holotype, larva collected on 29.iii.2014, emerged on 30.v.2014, all by N. Shimura (TN); 1 male, same locality as holotype, 18–19.iv.2015, S. Inaba, light-pan trap (TN); 3 larvae, same locality as holotype, 18.iv.2015, S. Inaba (SI); 5 pupal exuviae, 7 pupal cases, same locality as holotype, larvae collected on 15.iii.2019 by S. Kushibiki, fixed on 13–26.v.2019 by N. Shimura (TN); 6 larvae possibly this species, madicolous habitat, near Kawauchi-gawa, Uken-son, Kagoshima, 20.iii.1999, T. Ito and A. Ohkawa (TN); 3 larvae, same locality, 25.x.2011, T. Ito (TN). Etymology. rupicola (rupes + cola), Latin noun, “inhabitant of cliff,” referring to the larval habitat. Distribution. Amami-Oshima. Japanese name. Iwa-ningyo-tobikera. Remarks. Dr. T. Ito provided us with several larval specimens collected from madicolous habitats in 1999 in Okinawa-Jima, the largest island in the Ryukyu Archipelago. Although these larvae and their cases are identical to those of G. rupicola sp. nov., we reserve the identification of the Okinawa-jima population until adult male specimens become available. A related species, indistinguishable from our new species by the larval stage, could be distributed in Okinawa-jima. For example, Goera akagiae and Goera uchina Tanida and Nozaki 2006 (in Nozaki & Tanida 2006) are distributed in Amami-Oshima and Okinawa-jima, respectively, but they cannot be separated from each other by larval morphology (Nozaki & Tanida 2006).Published as part of Nozaki, Takao & Shimura, Noriyoshi, 2020, A new species of the genus Goera Stephens (Trichoptera, Goeridae) found in madicolous habitats in Amami-Oshima, southwestern Japan, pp. 573-579 in Zootaxa 4732 (4) on pages 574-578, DOI: 10.11646/zootaxa.4732.4.6, http://zenodo.org/record/366738
Hydroptila nago Ito & Shimura 2019, sp. nov.
No full textHydroptila nago Ito sp. nov. (Fig. 1) Hydroptila sp.: Ito, 2015, 15, Okinawa-jima. Diagnosis. The male of this species is similar to that of Hydroptila dorsoprocessuata Botosaneanu 1993, known in eastern Russia, in having a long dorsal process on segment IX, an elongate-rectangular semi-membranous dorsal plate, and long triangular inferior appendages. However, H. nago is clearly discriminated from H. dorsoprocessuata as follows: The aedeagus is bifurcate in H. nago but single in H. dorsoprocessuata; and in lateral view, the subgenital plate is extended caudad to near the tip of the inferior appendages in H. nago, but is relatively short, reaching only to the middle of the inferior appendages in H. dorsoprocessuata. Description. Male. Wings brown in alcohol. Forewings each 1.6–1.9 mm long, hind wings each 1.2–1.3 mm long (n = 2). Antennae brown, 1.2–1.3 mm long, 21–23-segmented (n = 2). Short ventromesal process on abdominal segment VII. Male genitalia (Figs 1 A–1E). Segment IX moderately long with anterior margin produced into long dorsal process (d.pr.) at middle of posterior margin in lateral and dorsal views. Dorsal plate (d.pl.) mostly membranous, elongate-rectangular with shallow middle apical excavation in dorsal view. Subgenital plate (s.pl.) subrectangular in basal half in ventral view, abruptly produced distally in long bar with apical seta. Inferior appendages (i.a.) long without any lobes, rod-like in lateral view, long-triangular in ventral view. Phallic apparatus with short titillator (ti.) at basal 1/3, aedeagus (ae.) and sclerotized sclerotized extension of ejaculatory duct (ej.du.) directed caudad, almost straight; aedeagus bifurcate, each half acute apically. Female. Unknown. Holotype. Male, Japan, Ryukyu, Okinawa-jima, Nago-shi, Genka, Genka-gawa, Hogen-hashi (26.6292 N, 128.0847 E, 90 m above sea level, 8.iv.2011, T. Ito, light trap (CBM-ZI 167018). Paratype. 1 male, type locality, 17–19.x.2014, T. Ito, light pan trap (CBM-ZI 167019). Etymology. The name “ nago ” is a noun in apposition, coined from the type locality. Distribution. Japan (Ryukyu: Okinawa-jima). Remarks. The adults of this species were collected near fast-flowing rivers with stony substrates. Japanese name. Nago-hime-tobikera.Published as part of Ito, Tomiko & Shimura, Noriyoshi, 2019, Notes on six microcaddisfly species (Trichoptera: Hydroptilidae) recorded for Japan, one a newly described species, pp. 26-38 in Zootaxa 4629 (1) on pages 26-38, DOI: 10.11646/zootaxa.4629.1.2, http://zenodo.org/record/326826
Galois irreducibility implies cohomology freeness for KHT Shimura varieties
No full textInternational audienceGiven a KHT Shimura variety provided with an action of its unramified Hecke algebra ,we proved in a previous work}, see also the paper of Caraiani-Scholze for other PEL Shimura varieties, that its localized cohomology groups at a generic maximal ideal of , appear to be free.In this work, we obtain the same result for such that its associatedgaloisian -representation is irreducible
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Eichler-Shimura Cohomology Groups and the Iwasawa Main Conjecture
No full textOhta has given a detailed study of the ordinary part of p-adic Eichler-Shimura cohomology groups (resp., generalized p-adic Eichler-Shimura cohomology groups) from the perspective of p-adic Hodge theory [O₁, O₂, O₃]. Assuming various hypotheses, he is able to use the structure of these groups to give a simple proof of the Iwasawa main conjecture over Q [O₂, O₃, O₄, O₅]. The goal of this thesis is to extend Ohta’s arguments with a view towards removing these hypotheses
LATTICES IN THE COHOMOLOGY OF SHIMURA CURVES
No full textWe prove the main conjectures of [Bre12] (including a generalisation from the principal series to the cuspidal case) and [Dem], subject to a mild global hypothesis that we make in order to apply certain R = T theorems. More precisely, we prove a multiplicity one result for the mod p cohomology of a Shimura curve at Iwahori level, and we show that certain apparently globally defined lattices in the cohomology of Shimura curves are determined by the corresponding local p-adic Galois representations. We also indicate a new proof of the Buzzard–Diamond–Jarvis conjecture in generic cases. Our main tools are the geometric Breuil–Mézard philosophy developed in [EG12], and a new and more functorial perspective on the Taylor–Wiles–Kisin patching method. Along the way, we determine the tamely potentially Barsotti–Tate deformation rings of generic two-dimensional mod p representations, generalising a result of [BM12] in the principal series case
The Arithmetic and Geometry of a Class of Algebraic Surfaces of General Type and Geometric Genus One
No full textWe study of a class of algebraic surfaces of general type and geometric genus one, with a view toward arithmetic results. These surfaces, called CC surfaces here, have been classified over the complex numbers by Catanese and Ciliberto. At the heart of our work is a large monodromy result for a family containing all members of a large subclass of CC surfaces, called the admissible CC surfaces. This result is obtained by an analysis of degenerations of admissible CC surfaces.
We apply this monodromy theorem to prove the Tate and semisimplicity conjectures for all admissible CC surfaces over finitely-generated fields of characteristic zero, which are statements about the Galois representations on their cohomology. We also apply the theorem to produce an example of an algebraic cycle on a Shimura variety of orthogonal type that is not contained in any proper special subvariety; this we do by using the period map of the aforementioned family. Finally, we deduce the existence of complex CC surfaces with the minimum possible Picard number.</p
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