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Brief von K. Nakajima an Kurt Rothschild
No full textBRIEF VON K. NAKAJIMA AN KURT ROTHSCHILD
Brief von K. Nakajima an Kurt Rothschild ([1]
Virtual crystals and Nakajima monomials
Get PDFAn explicit description of the virtualization map for the (modified) Nakajima monomial model for crystals is given. We give an explicit description of the Lusztig data for modified Nakajima monomials in type A(n)
Cobitis striata subsp. hakataensis Nakajima 2012, subsp. nov.
No full text<i>Cobitis striata hakataensis</i> Nakajima, subsp. nov. <p>(Figs. 3C, 4E, F, 5C, 6C)</p> <p> Hakata form of <i>Cobitis striata</i> (middle race): Nakajima <i>et al.</i> 2008: 13, fig. 2G; Hakata form of middle race of <i>Cobitis striata</i> complex: Kitagawa <i>et al.</i> 2009: 12, fig. 2E, F; <i>Cobitis</i> sp. 3 subsp. 3: Nakajima <i>et al.</i> 2012: 92, fig. 3c.</p> <p> <b>Holotype.</b> TKPM-P17342, male, 58.0 mm SL, Japan: Tatara River, Kasuya, Fukuoka Pref., Kyushu, 12. XII. 2010, J. Nakajima.</p> <p> <b>Paratypes.</b> JNC005, 1 male, 54.4 mm SL, same data as holotype; JNC041, 1 male, 60.4 mm SL, Tatara R., Kasuya, Fukuoka Pref., Kyushu, 23. V. 2005, J. Nakajima; KPM-NI29504, male, 55.0 mm SL, Tatara R., Kasuya, Fukuoka Pref., Kyushu, 18. V. 2008, J. Nakajima; MPM-FI1502, 1 male, 48.8 mm SL, same data; FKUN33756, 1 female, 87.4 mm SL, Naka R., Minami-ku, Fukuoka, Fukuoka Pref., Kyushu, 20. IV. 2005, J. Nakajima; JNC006, 1 male, 59.1 mm SL, Muromi R., Nishi-ku, Fukuoka, Fukuoka Pref., Kyushu, 13. V. 2010. E. Miyamura.</p> <p> <b>Non-type specimens.</b> 1 male and 2 females, 56.4–63.4 mm SL, same data as holotype; 1 male and 2 females, 64.0– 69.7 mm SL, Muromi R., Nishi-ku, Fukuoka, Fukuoka Pref., Kyushu, 5. VI. 2006, J. Nakajima; 2 males, 65.0, 65.7 mm SL, Tatara R., Kasuya, Fukuoka Pref., Kyushu, 23. V. 2005, J. Nakajima; 1 male and 1 female, 52.6, 55.5 mm SL, Tatara R., Kasuya, Fukuoka Pref., Kyushu, 18. V. 2008, J. Nakajima.</p> <p> <b>Diagnosis.</b> This subspecies is distinguishable from other Japanese striated spined loaches by the following characteristics: body size moderate, the mature size about 50–60 mm SL in males, 55–80 mm SL in females; lamina circularis at the base of the pectoral fin of adult male simple roundish plate, the upper segments of the first branched soft ray narrow and weak (Fig. 6C); PMN commonly 13; line L3 formed by incomplete longitudinal line, reaching to caudal base; line L4 formed by longitudinal jagged weblike line, reaching to postanal body, broader than L 3 in male of non-spawning season; line L5 organized in 11–14 roundish or ovoid blotches in non-spawning season; caudal fin and dorsal fin with 3–4 arcuate bars; upper spot at the caudal base jet-black comparable in size to eye diameter; lower spot at caudal base faint or missing; egg yolk diameter approximately 1.0mm; karyotype diploid.</p> <p> <b>Description.</b> Lateral view in Figure 3C illustrate body shape, form and position of fins. Morphometric and meristic data for 11 males and 5 females are summarized in Table 2. Dorsal-fin rays iii, 7; anal-fin rays iii, 5; pectoral-fin rays i, 7–8; pelvic-fin rays ii, 6; caudal-fin rays 8+8. Body elongate, laterally compressed. Head and snout elongated. Interorbital space narrow, convex. Caudal peduncle relatively compressed. Mouth small, inferior, arched with fleshy lips; lower lip divided with two well-developed lobes; upper lip with transverse wrinkles on surface. Barbels, 3 pairs, first on rostora, second on maxillae, third on maxillomandibula; each barbel well developed, length of maxillary barbel same as eye diameter; length of rostral and mandibular barbels shorter than that of maxillary barbel. Lateral line short, reaching the central region between the pectoral-fin base and the tip of the fin. PMN commonly 13 (range, 13–14). Very small cycloid scales on the trunk. Lamina circularis at the base of the pectoral fin of adult male simple roundish plate (Fig. 6C). The first branched soft ray of pectoral fin longer than the others; pectoral fin of the male relatively longer than that of the female. The upper segments of the first branched soft ray of pectoral fin narrow and weak. Dorsal-fin base equidistant from the base of the caudal fin and the tip of the snout. Pelvic-fin origin below first or second branched dorsal-fin ray. Anal fin not reaching caudal-fin base. Margin of anal and dorsal fins slightly roundish. Caudal fin slightly roundish. Largest recorded specimens: 65.7 mm SL male, 69.7 mm SL female.</p> <p> <b>Coloration.</b> <i>Male in the non-spawning season</i> (Figs. 3C, 4E). Body yellowish white with dark brown pigmentation in fresh specimens. Clear streak running from the tip of snout to the occiput, crossing to the eye. Upper part of head, opercle and snout covered with oval or amorphous shape spots. Body pigmentation organized in one middorsal and four lateral zones. Line L1 consisting of a series of 14–16, saddles or oval-shaped blotches, irregularly chained to each other. Line L2 formed by longitudinal jagged line, reaching to middorsal region, often fused with L1. Line L3 formed by incomplete longitudinal line, reaching to caudal base. Line L4 formed by longitudinal jagged weblike line, reaching to postanal body, broader than L3. Line L5 organized in 11–14 blotches from upper part of the pectoral fin to the caudal-fin base; blotches roundish or ovoid. Caudal fin and dorsal fin with 3–4 arcuate bars. Anal fin pigmented along the fin rays. Upper spot at the caudal base jet-black comparable in size to eye diameter, lower spot at the caudal base faint or missing.</p> <p> <i>Male in the spawning season</i> (Fig. 4F). Line L4 not visible or formed by faint longitudinal line, present only in anterior half of body. Lines L3 and L5 well developed with broad stripes from the upper part of the pectoral-fin base to the caudal-fin base.</p> <p> <i>Female</i> (Fig. 5C). Appearance similar to males in the non-spawning season, but number of blotches of line L5 tends to be more than in the male, line L5 of female organized in 11–17 blotches.</p> <p> <b>Sexual dimorphism.</b> Males have roundish lamina circularis at the base of the pectoral fin, but females do not. Generally, the body size of females is larger than that of males.</p> <p> <b>Egg diameter.</b> 0.98 ± 0.05 mm (females, N = 3; collected from the Tatara River system, Fukuoka Prefecture).</p> <p> <b>Karyotype.</b> Diploid (Kitagawa <i>et al.</i> 2009).</p> <p> <b>Distribution.</b> Rivers flowing into Hakata Bay, northern Kyushu: Fukuoka Prefecture (Nakajima <i>et al.</i> 2008).</p> <p> <b>Habitat and biology.</b> This species inhabits sandy-mud bottoms of the middle and lower reach of rivers. Life histories are unknown.</p> <p> <b>Etymology.</b> The subspecific name is derived from the popular common name of the Fukuoka City area in which the type locality is situated.</p> <p> <b>Remarks.</b> The genetic features have been reported by Kitagawa <i>et al.</i> (2009).</p> <p> <b>Japanese name.</b> Hakata-suji-shima-dojyô.</p>Published as part of <i>Nakajima, Jun, 2012, Taxonomic study of the Cobitis striata complex (Cypriniformes, Cobitidae) in Japan, pp. 103-130 in Zootaxa 3586</i> on pages 115-11
Hikita-nakajima conjecture for the Gieseker variety
Get PDFLet M0 be an affine Nakajima quiver variety, and let M be the corresponding BFN Coulomb branch. Assume that M0 can be resolved by the (smooth) Nakajima quiver variety M. The Hikita-Nakajima conjecture claims that there should be an isomorphism of (graded) algebras H∗
S (M, C) C[MC× s ], where S M0 is a torus acting on M0 preserving the Poisson structure, Ms is the (Poisson) deformation of M over s = Lie S, C× is a generic one-dimensional torus acting on M, and C[MC× s ] is the algebra of schematic C×-fixed points of Ms. We prove the Hikita-Nakajima conjecture forM = M(n,r) Gieseker variety (ADHM space). We produce the isomorphism explicitly on generators. We also describe the Hikita-Nakajima isomorphism above using the realization of Ms as the spectrum of the center of the rational Cherednik algebra corresponding to Sn (Z/rZ)n and identify all the algebras that appear in the isomorphism with the center of the degenerate cyclotomic Hecke algebra (generalizing
some results of Shan, Varagnolo, and Vasserot)
Certain Cases of Hikita-Nakajima conjecture
Get PDFLet be an affine Nakajima quiver variety, and is the corresponding BFN Coulomb branch. Assume that can be resolved by the (smooth) Nakajima quiver variety . The Hikita-Nakajima conjecture claims that there should be an isomorphism of (graded) algebras , where is a torus acting on preserving the Poisson structure, is the (Poisson) deformation of over \mathfrak{s}=\on{Lie}S, is a generic one-dimensional torus acting on , and is the algebra of schematic -fixed points of . In this thesis we prove the Hikita-Nakajima conjecture for \mathfrak{M}= \widetilde{\C^2/ \Gamma} (Kleinian singularities) and Gieseker variety ( space). In the latter case we produce the isomorphism explicitly on generators. We also describe the Hikita-Nakajima isomorphism above using the realization of as
the spectrum of the center of the rational Cherednik algebra corresponding to and identify all the algebras that appear in the isomorphism with the center of the degenerate cyclotomic Hecke algebra.Ph.D
Nakajima Atsushi Influences of Romanticism and Taoism
Get PDFAbstract Nakajima Atsushi (1909-1942) is an erudite writer who has combined Eastern and Western thoughts in his short stories. This thesis focuses on the influences of Romanticism and Taoism on his writings. Nakajima is skeptical of civilization and yearns for a natural and simple existence. The concepts central to Nakajima\u27s works as articulated by Jean-Jacques Rousseau and Lao Tzu are introduced in chapter l. Chapter 2 examines Nakajima\u27s upbringing and the influences of his family, education, and work on him, as well as his thoughts revealed in his autobiographical fiction. His nostalgia for the past and nature, which concurs with Romantic and Taoist ideas, is discussed in chapter 3. Chapter 4 assesses Nakajima\u27s experience in the South Seas and his anti colonial sentiments that arise out of his affinity toward the natives. Chapter 5 is an analysis of Nakajima\u27s Taoist allegory and historical fiction that represent his images of the ideal man. In conclusion, the philosophical ideas presented in Nakajima\u27s short stories are reviewed in chapter 6. Nakajima\u27s short stories are also contrasted with the writings of Chuang Tzu, Lieh Tzu, Plato, Anatole France, Giacomi Leopardi, and Robert Louis Stevenson in order to identify similarities in the Taoist and Romantic thoughts from which Nakajima has extracted. Nakajima aspired to write literature that portrays the problems of existence and humanity that are revealed through the struggles of his characters. He often formulates stories based on parables and well-known tales and heightens the plot with new twists. Nakajima\u27s tales regarding the distant past and foreign lands have not aged, but instead allow readers to experience history as lived by the characters. A translation of Nakajima\u27s Kamereon Nikki (Chameleon Diary) is presented in the appendix
A logarithmic approximation of linearly-ordered colourings
Get PDFA linearly ordered (LO) k-colouring of a hypergraph assigns to each vertex a colour from the set {0,1,…,k-1} in such a way that each hyperedge has a unique maximum element. Barto, Batistelli, and Berg conjectured that it is NP-hard to find an LO k-colouring of an LO 2-colourable 3-uniform hypergraph for any constant k ≥ 2 [STACS'21] but even the case k = 3 is still open. Nakajima and Živný gave polynomial-time algorithms for finding, given an LO 2-colourable 3-uniform hypergraph, an LO colouring with O^*(√n) colours [ICALP'22] and an LO colouring with O^*(n^(1/3)) colours [ACM ToCT'23]. Very recently, Louis, Newman, and Ray gave an SDP-based algorithm with O^*(n^(1/5)) colours. We present two simple polynomial-time algorithms that find an LO colouring with O(log₂(n)) colours, which is an exponential improvement
Inurois nikkoensis Nakajima 1992
No full textInurois nikkoensis Nakajima, 1992 Inurois nikkoensis Nakajima, 1992: 210, figs 1–3, 25, 34, 43. Holotype ♂ (NSMT). Type locality: Japan, Tochigi Prefecture, Nikko, Yumoto, 1500 m. DISTRIBUTION. Japan (Hokkaido, Honshu).Published as part of Beljaev, E. A., 2022, Identification and misidentifications in the genus Inurous (Lepidoptera: Geometridae) with description of a new species, pp. 1-23 in Far Eastern Entomologist 461 on page 7, DOI: 10.25221/fee.461.1, http://zenodo.org/record/716698
Inurois kobayashii Nakajima 1992
No full textInurois kobayashii Nakajima, 1992 Inurois kobayashii Nakajima, 1992: 211, figs 4–6, 26, 35. Holotype ♂ (NSMT). Type locality: Japan, Shizuoka Prefecture, Izu, Shuzenji, 200 m. DISTRIBUTION. Japan: (Honshu: Izu Peninsula).Published as part of Beljaev, E. A., 2022, Identification and misidentifications in the genus Inurous (Lepidoptera: Geometridae) with description of a new species, pp. 1-23 in Far Eastern Entomologist 461 on page 6, DOI: 10.25221/fee.461.1, http://zenodo.org/record/716698
Keiichi Nakajima, professeur invité au Craham
No full textKeiichi Nakajima, Kamakura, 2016 (cl. L. Bourgeois) Au mois de mars 2020, le Craham accueillera Keiichi Nakajima en tant que professeur invité. Keiichi Nakajima est professeur d’histoire médiévale japonaise à l’université Keio de Tokyo, la plus ancienne université du Japon. Sa thèse (1995) portait sur le système monétaire très original de l’époque, qui fonctionnait sans contrôle étatique grâce à des monnaies de bronze importées en masse depuis la Chine. Il poursuit depuis lors l’étude de c..
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