Zobrazeno 1 - 10 of 42 pro vyhledávání: '"SHU KAWAGUCHI"'
1
The Mordell Conjecture
Autor: Hideaki Ikoma, Shu Kawaguchi, Atsushi Moriwaki
The Mordell conjecture (Faltings's theorem) is one of the most important achievements in Diophantine geometry, stating that an algebraic curve of genus at least two has only finitely many rational points. This book provides a self-contained and detai
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::0eb748cca4f48f1d03ce65c6d339aba7
https://doi.org/10.1017/9781108991445
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2
Effective faithful tropicalizations associated to linear systems on curves
Autor: Shu Kawaguchi, Kazuhiko Yamaki
Publikováno v: Memoirs of the American Mathematical Society. 270
For a connected smooth projective curve $X$ of genus $g$, global sections of any line bundle $L$ with $\deg(L) \geq 2g+ 1$ give an embedding of the curve into projective space. We consider an analogous statement for a Berkovich skeleton in nonarchime
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f12c5b4a8b108fd5f92ce44fe708dded
https://doi.org/10.1090/memo/1323
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4
Effective Faithful Tropicalizations Associated to Adjoint Linear Systems
Autor: Kazuhiko Yamaki, Shu Kawaguchi
Publikováno v: International Mathematics Research Notices. 2019:6089-6112
Let $R$ be a complete discrete valuation ring of equi-characteristic zero with fractional field $K$. Let $X$ be a connected, smooth projective variety of dimension $d$ over $K$, and let $L$ be an ample line bundle over $X$. We assume that there exist
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d6eb4248811508bb132e759a6a3e05e5
https://doi.org/10.1093/imrn/rnx302
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6
Akademický článek
Algebraic rank on hyperelliptic graphs and graphs of genus 3.
Autor: Shu Kawaguchi1 kawaguch@math.kyoto-u.ac.jp, Kazuhiko Yamaki2 yamaki.kazuhiko.6r@kyoto-u.ac.jp
Publikováno v: Kyoto Journal of Mathematics. 2016, Vol. 56 Issue 1, p177-196. 20p.
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8
Rank of Divisors on Hyperelliptic Curves and Graphs Under Specialization
Autor: Kazuhiko Yamaki, Shu Kawaguchi
Publikováno v: International Mathematics Research Notices. 2015(12):4121-4176
Let $(G, \omega)$ be a hyperelliptic vertex-weighted graph of genus $g \geq 2$. We give a characterization of $(G, \omega)$ for which there exists a smooth projective curve $X$ of genus $g$ over a complete discrete valuation field with reduction grap
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fe8e49f551d8dba4c1f5256966660c0f
http://hdl.handle.net/2433/202903
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10
Nilpotency indices, degrees of iterations of affine triangular automorphisms, and Schubert calculus
Autor: Shu Kawaguchi
Publikováno v: Manuscripta Mathematica. 144:311-339
Let f be a triangular automorphism of the affine N-space of degree d with Jacobian 1 over a \({\mathbb{Q}}\)-algebra R. We introduce a weighted nilpotency index ν(f) for f, and give a bound of deg(fn) in terms of N, d and ν(f) for all \({n \in \mat
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::4561b7527275aa95a64f9de4567d7d3b
https://doi.org/10.1007/s00229-014-0658-x
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