截断前推和精制无ramified同调

IF 1.5 1区数学 Q1 MATHEMATICS

Advances in Mathematics Pub Date : 2024-10-23 DOI:10.1016/j.aim.2024.109979

Theodosis Alexandrou , Stefan Schreieder

引用次数: 0

摘要

对于一大类同调理论，我们证明了精炼的非ramified同调与扎里斯基剪切的自然截断复数的超同调是同构的。这概括了布洛赫和奥古斯的一个经典结果，并解决了郭和周的一个猜想。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Truncated pushforwards and refined unramified cohomology

For a large class of cohomology theories, we prove that refined unramified cohomology is canonically isomorphic to the hypercohomology of a natural truncated complex of Zariski sheaves. This generalizes a classical result of Bloch and Ogus and solves a conjecture of Kok and Zhou.

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来源期刊

Advances in Mathematics 数学-数学

CiteScore

2.80

自引率

5.90%

发文量

497

审稿时长

7.5 months

期刊介绍： Emphasizing contributions that represent significant advances in all areas of pure mathematics, Advances in Mathematics provides research mathematicians with an effective medium for communicating important recent developments in their areas of specialization to colleagues and to scientists in related disciplines.