Witt groups of smooth projective quadrics

被引：2
|
作者：
Xie, Heng [1 ,2 ]
机构：
[1] Max Planck Inst Math, Vivatsgasse 7, D-53111 Bonn, Germany
[2] Berg Univ Wuppertal, Fachgrp Math & Informat, D-42119 Wuppertal, Germany
来源：
ADVANCES IN MATHEMATICS | 2019年 / 346卷
基金：
英国工程与自然科学研究理事会;
关键词：
Witt groups; Quadrics; Semi-orthogonal decomposition; Clifford algebras; HERMITIAN K-THEORY; LOCALIZATION; CATEGORIES; ALGEBRAS;
D O I：
10.1016/j.aim.2019.01.038
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let k be a commutative ring containing 1/2. In this paper, we construct exact sequences connecting Witt groups of smooth projective quadrics over k and Clifford algebras. The exact sequences have an application to a classical problem in quadratic form theory: the Witt kernel of function fields of quadrics. We also apply the exact sequences to compute Witt groups of certain kinds of smooth projective quadrics. (C) 2019 Elsevier Inc. All rights reserved.
引用
收藏
页码：70 / 123
页数：54
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