Abelian branched covers of rational surfaces

被引:2
|
作者
Harris, Robert [1 ]
Joshi, Amey [2 ]
Doug Park, B. [1 ]
Poddar, Mainak [3 ]
机构
[1] Univ Waterloo, Dept Pure Math, Waterloo, ON N2L 3G1, Canada
[2] Michigan State Univ, Dept Math, E Lansing, MI 48824 USA
[3] IISER Pune, Dept Math, Dr Homi Bhabha Rd, Pune 411008, India
基金
加拿大自然科学与工程研究理事会;
关键词
Branched covering; geography problem; line arrangement; symplectic; 4-manifolds; NONSPIN SYMPLECTIC 4-MANIFOLDS; GEOGRAPHY;
D O I
10.1515/advgeom-2023-0012
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We study abelian covers of rational surfaces branched over line arrangements. We use these covers to address the geography problem for closed simply connected nonspin irreducible symplectic 4-manifolds with positive signature.
引用
收藏
页码:401 / 411
页数:11
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