拓扑Hochschild同调的导出不变量

IF 1.2 1区数学 Q1 MATHEMATICS

Algebraic Geometry Pub Date : 2019-06-28 DOI:10.14231/ag-2022-011

Benjamin Antieau, Daniel Bragg

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引用次数: 7

摘要

我们考虑由拓扑Hochschild同调产生的具有正特征的变种的导出不变量。利用Ekedahl和Illusie Raynaud在研究斜率谱序列时提出的理论，我们研究了与Hodge-Witt和结晶上同调群有关的各种$p$-二元量在导出等价下的行为，包括斜率数、多米诺数和Hodge-Wwitt数。因此，我们得到了导出等价变种的Hodge数的限制，将Popa-Schell的结果部分推广到了正特征。

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Derived invariants from topological Hochschild homology

We consider derived invariants of varieties in positive characteristic arising from topological Hochschild homology. Using theory developed by Ekedahl and Illusie-Raynaud in their study of the slope spectral sequence, we examine the behavior under derived equivalences of various $p$-adic quantities related to Hodge-Witt and crystalline cohomology groups, including slope numbers, domino numbers, and Hodge-Witt numbers. As a consequence, we obtain restrictions on the Hodge numbers of derived equivalent varieties, partially extending results of Popa-Schell to positive characteristic.

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来源期刊

Algebraic Geometry Mathematics-Geometry and Topology

CiteScore

2.40

自引率

0.00%

发文量

审稿时长

52 weeks

期刊介绍： This journal is an open access journal owned by the Foundation Compositio Mathematica. The purpose of the journal is to publish first-class research papers in algebraic geometry and related fields. All contributions are required to meet high standards of quality and originality and are carefully screened by experts in the field.