REAL TOPOLOGICAL HOCHSCHILD HOMOLOGY OF SCHEMES

IF 1.1 2区数学 Q1 MATHEMATICS

Journal of the Institute of Mathematics of Jussieu Pub Date : 2022-09-26 DOI:10.1017/s1474748023000178

J. Hornbostel, Doosung Park

引用次数: 2

Abstract

We prove that real topological Hochschild homology $\mathrm {THR}$ for schemes with involution satisfies base change and descent for the ${\mathbb {Z}/2}$ -isovariant étale topology. As an application, we provide computations for the projective line (with and without involution) and the higher-dimensional projective spaces.

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方案的实拓扑hochschchild同调

我们证明了对合方案的实拓扑Hochschild同调$\mathrm{THR}$满足${\mathbb{Z}/2}$等变元拓扑的基变和下降。作为一个应用，我们提供了投影线（有对合和无对合）和高维投影空间的计算。

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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来源期刊

Journal of the Institute of Mathematics of Jussieu 数学-数学

CiteScore

2.40

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of the Institute of Mathematics of Jussieu publishes original research papers in any branch of pure mathematics; papers in logic and applied mathematics will also be considered, particularly when they have direct connections with pure mathematics. Its policy is to feature a wide variety of research areas and it welcomes the submission of papers from all parts of the world. Selection for publication is on the basis of reports from specialist referees commissioned by the Editors.