泰特动机衍生类别的分层

arXiv - MATH - K-Theory and Homology Pub Date : 2024-06-18 DOI:arxiv-2406.13088

David Rubinstein

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引用次数: 0

摘要

我们对某些代数闭域上的混合塔特动机派生类的局部张量理想进行了分类。更准确地说，我们证明了这些范畴在巴特尔、赫尔德和桑德斯的意义上是分层的。证明中的一个关键要素是开发了一种新技术，通过布朗--亚当斯可表征性在范畴之间传递分层，这可能会引起独立的兴趣。

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Stratification of Derived Categories of Tate Motives

We classify the localizing tensor ideals of the derived categories of mixed Tate motives over certain algebraically closed fields. More precisely, we prove that these categories are stratified in the sense of Barthel, Heard and Sanders. A key ingredient in the proof is the development of a new technique for transporting stratification between categories by means of Brown--Adams representability, which may be of independent interest.

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arXiv - MATH - K-Theory and Homology

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