A1-connected components of ruled surfaces

被引：5

作者：

Balwe, Chetan ^{[1
]}

Sawant, Anand ^{[2
]}

机构：

[1] Indian Inst Sci Educ & Res, Dept Math Sci, Mohali, India

[2] Tata Inst Fundamental Res, Sch Math, Mumbai, Maharashtra, India

来源：

GEOMETRY & TOPOLOGY | 2022年 / 26卷 / 01期

关键词：

A(1)-HOMOTOPY;

D O I：

10.2140/gt.2022.26.321

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A conjecture of Morel asserts that the sheaf of A(1)-connected components of a space is A(1)-invariant. Using purely algebrogeometric methods, we determine the sheaf of A(1)-connected components of a smooth projective surface, which is birationally ruled over a curve of genus > 0. As a consequence, we show that Morel's conjecture holds for all smooth projective surfaces over an algebraically closed field of characteristic 0.

引用

页码：321 / 376

页数：56

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