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.
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页码：423 / 436
页数：14
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