COMPARING EULER CLASSES

被引：24

作者：

Asok, A. ^{[1
]}

Fasel, J. ^{[2
]}

机构：

[1] Univ Southern Calif, Dept Math, 3620 S Vermont Ave, Los Angeles, CA 90089 USA

[2] Univ Grenoble Alpes, Inst Fourier, UMR 5582, 100 Rue Math, F-38402 St Martin Dheres, France

来源：

QUARTERLY JOURNAL OF MATHEMATICS | 2016年 / 67卷 / 04期

基金：

美国国家科学基金会;

关键词：

VECTOR-BUNDLES; MOTIVIC COHOMOLOGY;

D O I：

10.1093/qmath/haw033

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish the equality of two definitions of a Euler class in algebraic geometry: the first definition is as a 'characteristic class' with values in Chow-Witt theory, while the second definition is as an 'obstruction class.' Along the way, we refine Morel's relative Hurewicz theorem in. A(1)-homotopy theory, and show how to define (twisted) Chow-Witt groups for geometric classifying spaces.

引用

页码：603 / 635

页数：33

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