The global moduli theory of symplectic varieties

被引：9

作者：

Bakker, Benjamin ^{[1
]}

Lehn, Christian ^{[2
]}

机构：

[1] Univ Illinois, Dept Math, 851 S Morgan St, Chicago, IL 60607 USA

[2] Tech Univ Chemnitz, Fak Math, Reichenhainer Str 39, D-09126 Chemnitz, Germany

来源：

JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK | 2022年 / 2022卷 / 790期

关键词：

COMPACT HYPERKAHLER MANIFOLDS; TRIVIAL CANONICAL CLASS; 1ST CHERN CLASS; DECOMPOSITION THEOREM; TORELLI THEOREM; KAHLER CONE; DEFORMATIONS; SPACES; PROJECTIVITY; COHOMOLOGY;

D O I：

10.1515/crelle-2022-0033

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We develop the global moduli theory of symplectic varieties in the sense of Beauville. We prove a number of analogs of classical results from the smooth case, including a global Torelli theorem. In particular, this yields a new proof of Verbitsky's global Torelli theorem in the smooth case (assuming b(2) >= 5) which does not use the existence of a hyperkahler metric or twistor deformations.

引用

页码：223 / 265

页数：43

共 93 条

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