RELATIVE A1-HOMOLOGY AND ITS APPLICATIONS

被引：0
|
作者：
Shimizu, Yuri [1 ]
机构：
[1] Tokyo Inst Technol, Dept Math, Meguro Ku, 2-12-1 Ookayama, Tokyo 1528550, Japan
来源：
HOMOLOGY HOMOTOPY AND APPLICATIONS | 2022年 / 24卷 / 01期
关键词：
A(1)-homology; A(1)-homotopy; algebraic geometry;
D O I：
10.4310/HHA.2022.v24.n1.a7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we prove an A(1)-homology version of the White-head theorem with dimension bound. We also prove an excision theorem for A(1)-homology, Suslin homology and A(1)-homotopy sheaves. In order to prove these results, we develop a general theory of relative A(1)-homology and A(1)-homotopy sheaves. As an application, we compute the relative A(1)-homology of a hyperplane embedding Pn-1 hooked right arrow P-n.
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页码：129 / 141
页数：13
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