Equivariant connective 𝐾-theory

IF 0.9 1区数学 Q2 MATHEMATICS

Journal of Algebraic Geometry Pub Date : 2021-10-28 DOI:10.1090/jag/773

N. Karpenko, A. Merkurjev

引用次数: 1

Abstract

For separated schemes of finite type over a field with an action of an affine group scheme of finite type, we construct the bi-graded equivariant connective K K -theory mapping to the equivariant K K -homology of Guillot and the equivariant algebraic K K -theory of Thomason. It has all the standard basic properties as the homotopy invariance and localization. We also get the equivariant version of the Brown-Gersten-Quillen spectral sequence and study its convergence.

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等变连接𝐾-theory

对于具有有限型仿射群方案作用的域上的有限型分离方案，构造了到Guillot的等变K -同调的双阶等变连接K -理论映射和Thomason的等变代数K -理论。它具有同伦不变性和局域性等所有标准的基本性质。得到了Brown-Gersten-Quillen谱序列的等变版本，并研究了它的收敛性。

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 Algebraic Geometry 数学-数学

CiteScore

2.70

自引率

5.60%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Algebraic Geometry is devoted to research articles in algebraic geometry, singularity theory, and related subjects such as number theory, commutative algebra, projective geometry, complex geometry, and geometric topology. This journal, published quarterly with articles electronically published individually before appearing in an issue, is distributed by the American Mathematical Society (AMS). In order to take advantage of some features offered for this journal, users will occasionally be linked to pages on the AMS website.