KSBA compactification of the moduli space of K3 su

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KSBA compactification of the moduli space of K3 surfaces with a purely non-symplectic
slightautomorphism of order four
期刊名称: Proceedings of the Edinburgh Mathematical Society
高中英语必修5单词
作者: Han-Bom Moon,Luca Schaffler
pplive作者机构: Department of Mathematics, Fordham University , New York , NY 10023 USA ( ) ,Department of Mathematics, KTH Royal Institute of Technology , SE-100 44 Stockholm Sweden ( )烤鸭英语
设计说明英文
年份: 2021年
期号: 第1期
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关键词: K3 surface;stable pair;moduli space;compactification;14J10;14J28;14D06
摘要:We describe a compactification by KSBA stable pairs of the five-dimensional moduli space of K3 surfaces with a purely non-symplectic automorphism of order four and lattice polarization. The K3 su
eam>结束英文
rfaces can be realized as the minimal resolution of the double cover of branched along a specific curve. We show that, up to a finite group action, this stable pairs compactification is isomorphic to Kirwan's partial desingularization of the GIT quotient with the symmetric linearization.
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