局部和全局域上连通约化群上的Tate-Shafarevich核、弱Brauer和r等价

IF 1.2 2区数学 Q1 MATHEMATICS

Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze Pub Date : 2019-01-01 DOI:10.2422/2036-2145.201703_004

N. Q. Thang

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引用次数: 4

摘要

引入了任意域上连通约化群的k点上的一个新的等价关系，该等价关系与特征为0时常见的Brauer等价一致，并通过一些局部-全局精确序列研究了它与任意域上任意特征的给定群的r -等价关系及其他基本算术几何不变量的关系。数学学科分类(2010):11E72(初级);20G10、20G30、20G35(二级)。

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Tate-Shafarevich kernel, weak Brauer and R-equivalence on connected reductive groups over local and global fields

We introduce a new equivalence relation on k-points of connected reductive groups over an arbitrary field, which coincides with the usual Brauer equivalence when the characteristic is 0, and study its relation with R-equivalence relation and other basic arithmetic-geometric invariants of the given group over local and global fields of any characteristic via some local-global exact sequences. Mathematics Subject Classification (2010): 11E72 (primary); 20G10, 20G30, 20G35 (secondary).

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来源期刊

Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze 数学-数学

CiteScore

2.30

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Annals of the Normale Superiore di Pisa, Science Class, publishes papers that contribute to the development of Mathematics both from the theoretical and the applied point of view. Research papers or papers of expository type are considered for publication. The Annals of the Normale Scuola di Pisa - Science Class is published quarterly Soft cover, 17x24