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Titlebook: Geometry, Algebra, Number Theory, and Their Information Technology Applications; Toronto, Canada, Jun Amir Akbary,Sanoli Gun Conference pro

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发表于 2025-3-21 19:27:34 | 显示全部楼层 |阅读模式
书目名称Geometry, Algebra, Number Theory, and Their Information Technology Applications
副标题Toronto, Canada, Jun
编辑Amir Akbary,Sanoli Gun
视频video
概述Contains research articles in applications in number theory in information technology with emphasis on cryptographic applications of abelian varieties.Features research articles on explicit methods in
丛书名称Springer Proceedings in Mathematics & Statistics
图书封面Titlebook: Geometry, Algebra, Number Theory, and Their Information Technology Applications; Toronto, Canada, Jun Amir Akbary,Sanoli Gun Conference pro
描述.This volume contains proceedings of two conferences held in Toronto (Canada) and Kozhikode (India) in 2016 in honor of the 60th birthday of Professor Kumar Murty. The meetings were focused on several aspects of number theory:...Thetheory of automorphic forms and their associated L-functions..Arithmeticgeometry, with special emphasis on algebraic cycles, Shimura varieties,and explicit methods in the theory of abelian varieties..Theemerging applications of number theory in information technology. . .Kumar Murty has been a substantial influence in these topics, and the two conferences were aimed at honoring his many contributions to number theory, arithmetic geometry, and information technology..
出版日期Conference proceedings 2018
关键词Sieve theory; arithmetic geometry; automorphic forms; cryptography; abelian varieties
版次1
doihttps://doi.org/10.1007/978-3-319-97379-1
isbn_softcover978-3-030-07346-6
isbn_ebook978-3-319-97379-1Series ISSN 2194-1009 Series E-ISSN 2194-1017
issn_series 2194-1009
copyrightSpringer Nature Switzerland AG 2018
The information of publication is updating

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发表于 2025-3-21 20:26:38 | 显示全部楼层
https://doi.org/10.1007/978-3-7091-9962-6lian variety . via the Abel–Jacobi map. This Hilbert scheme can be embedded in a Grassmannian, so that points on it (and hence, via the above-mentioned Abel–Jacobi map, points on .) can be represented by matrices. Arithmetic on . can be worked out by using linear algebra algorithms on the representing matrices.
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Explicit Arithmetic on Abelian Varieties,lian variety . via the Abel–Jacobi map. This Hilbert scheme can be embedded in a Grassmannian, so that points on it (and hence, via the above-mentioned Abel–Jacobi map, points on .) can be represented by matrices. Arithmetic on . can be worked out by using linear algebra algorithms on the representing matrices.
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Derived Categories of Moduli Spaces of Vector Bundles on Curves II,s fully faithful for every smooth projective curve of genus . It is proved in this present paper that the result is also true for non-hyperelliptic curves of genus 3. Combining known results in the case of hyperelliptic curves, one obtains that . is fully faithful for all . of genus ..
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发表于 2025-3-23 01:43:16 | 显示全部楼层
2194-1009 varieties.Features research articles on explicit methods in.This volume contains proceedings of two conferences held in Toronto (Canada) and Kozhikode (India) in 2016 in honor of the 60th birthday of Professor Kumar Murty. The meetings were focused on several aspects of number theory:...Thetheory o
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https://doi.org/10.1007/978-3-662-33047-0criminants (if infinite) or else give a counter-example to what is often termed Martinet’s conjecture or question (if finite). Using extensive computation and introducing some new techniques, we give strong evidence that the tower is in fact finite, establishing other properties of its Galois group en route.
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