关于胡贝尔和卡恩一个结果的评论

IF 0.7 4区数学 Q2 MATHEMATICS

Bulletin of The Iranian Mathematical Society Pub Date : 2024-02-29 DOI:10.1007/s41980-024-00861-4

Somayeh Habibi, Farhad Rahmati

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引用次数: 0

摘要

A.胡贝尔（A. Huber）和卡恩（B. Kahn）在与光滑方案 Y 的主 T 束相关联的动机 M(X) 上构造了一个相对切片过滤。作为他们的结果，我们可以观察到动机 M(Y) 的混合塔特性意味着动机 M(X) 是混合塔特的。在本注中，我们将证明主 G 束的反向蕴涵，即分裂还原群 G 的反向蕴涵。

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A Remark on a Result of Huber and Kahn

A. Huber and B. Kahn construct a relative slice filtration on the motive M(X) associated to a principal T-bundle \(X\rightarrow Y\) for a smooth scheme Y. As a consequence of their result, one can observe that the mixed Tateness of the motive M(Y) implies that the motive M(X) is mixed Tate. In this note we prove the inverse implication for a principal G-bundle, for a split reductive group G.

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来源期刊

Bulletin of The Iranian Mathematical Society Mathematics-General Mathematics

CiteScore

1.40

自引率

0.00%

发文量

期刊介绍： The Bulletin of the Iranian Mathematical Society (BIMS) publishes original research papers as well as survey articles on a variety of hot topics from distinguished mathematicians. Research papers presented comprise of innovative contributions while expository survey articles feature important results that appeal to a broad audience. Articles are expected to address active research topics and are required to cite existing (including recent) relevant literature appropriately. Papers are critically reviewed on the basis of quality in its exposition, brevity, potential applications, motivation, value and originality of the results. The BIMS takes a high standard policy against any type plagiarism. The editorial board is devoted to solicit expert referees for a fast and unbiased review process.