摘要翻译:
这是我在2007年5月在萨马拉州立大学举行的纪念V.E.Voskresenskii 80周年的“代数与数论”国际会议上所作的演讲的扩展版本。本文的目的是对V.E.Voskresenskii在代数托里的算术性质和生育性质方面的研究结果作一综述,他在30年前以俄文出版的专著《代数托里》中达到了顶峰。我将试着把这些结果和思想放在某种更广泛的背景下,并对专著《代数群及其双生不变量》的英文版出版后的时期的有关活动作一个简要的摘要。
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英文标题:
《Algebraic tori - thirty years after》
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作者:
Boris Kunyavskii
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最新提交年份:
2008
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分类信息:
一级分类:Mathematics 数学
二级分类:Algebraic Geometry 代数几何
分类描述:Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇,叠,束,格式,模空间,复几何,量子上同调
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一级分类:Mathematics 数学
二级分类:Number Theory 数论
分类描述:Prime numbers, diophantine equations, analytic number theory, algebraic number theory, arithmetic geometry, Galois theory
素数,丢番图方程,解析数论,代数数论,算术几何,伽罗瓦理论
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英文摘要:
This is an expanded version of my talk given at the International Conference ``Algebra and Number Theory'' dedicated to the 80th anniversary of V. E. Voskresenskii, which was held at the Samara State University in May 2007. The goal is to give an overview of results of V. E. Voskresenskii on arithmetic and birational properties of algebraic tori which culminated in his monograph "Algebraic Tori" published in Russian 30 years ago. I shall try to put these results and ideas into somehow broader context and also to give a brief digest of the relevant activity related to the period after the English version of the monograph "Algebraic Groups and Their Birational Invariants" appeared.
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PDF链接:
https://arxiv.org/pdf/0712.4061