Niveau spectral sequences on singular schemes and failure of generalized gersten conjecture

被引：0

作者：

Balmer, Paul ^{[1
]}

机构：

[1] Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90095 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2009年 / 137卷 / 01期

基金：

美国国家科学基金会;

关键词：

spectral sequence; K-theory; singular schemes; K-THEORY; LOCALIZATION; CATEGORIES; VARIETIES;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We construct a new local-global spectral sequence for Thomason's non-connective K-theory, generalizing the Quillen spectral sequence to possibly non-regular schemes. Our spectral sequence starts at the E-1-page where it displays Gersten-type complexes. It agrees with Thomason's hypercohomology spectral sequence exactly when these Gersten-type complexes are locally exact, a condition which fails for general singular schemes, as we indicate.

引用

页码：99 / 106

页数：8

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