LIMIT MIXED HODGE STRUCTURES OF HYPERKAHLER MANIFOLDS

被引：6

作者：

Soldatenkov, Andrey ^{[1
]}

机构：

[1] Humboldt Univ, Inst Math, Unter Linden 6, D-10099 Berlin, Germany

来源：

MOSCOW MATHEMATICAL JOURNAL | 2020年 / 20卷 / 02期

关键词：

Hodge structure; limit mixed Hodge structure; hyperkahler manifold;

D O I：

10.17323/1609-4514-2020-20-2-423-436

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This note is inspired by the work of Deligne. We study limit mixed Hodge structures of degenerating families of compact hyperkahler manifolds. We show that when the monodromy action on H-2 has maximal index of unipotency, the limit mixed Hodge structures on all cohomology groups are of Hodge-Tate type.

引用

页码：423 / 436

页数：14

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