Toric varieties, monoid schemes and cdh descent

被引：33

作者：

Cortinas, Guillermo ^{[1
]}

Haesemeyer, Christian ^{[2
]}

Walker, Mark E. ^{[3
]}

Weibel, Charles ^{[4
]}

机构：

[1] Univ Buenos Aires, Dept Matemat, Inst Santalo, FCEyN, RA-1428 Buenos Aires, DF, Argentina

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

[3] Univ Nebraska, Dept Math, Lincoln, NE 68588 USA

[4] Rutgers State Univ, Dept Math, New Brunswick, NJ 08901 USA

来源：

JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK | 2015年 / 698卷

基金：

美国国家科学基金会;

关键词：

ALGEBRAIC K-THEORY; DESINGULARIZATION; RINGS;

D O I：

10.1515/crelle-2012-0123

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give conditions for the Mayer-Vietoris property to hold for the algebraic K-theory of blow-up squares of toric varieties and schemes, using the theory of monoid schemes. These conditions are used to relate algebraic K-theory to topological cyclic homology in characteristic p. To achieve our goals, we develop many notions for monoid schemes based on classical algebraic geometry, such as separated and proper maps and resolution of singularities.

引用

页码：1 / 54

页数：54

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