MODULI SPACES OF POLARIZED SYMPLECTIC O'GRADY VARIETIES AND BORCHERDS PRODUCTS

被引：0

作者：

Gritsenko, Valery ^{[1
]}

Hulek, Klaus ^{[2
]}

Sankaran, Gregory K. ^{[3
]}

机构：

[1] Univ Lille 1, Lab Paul Painleve, F-59655 Villeneuve Dascq, France

[2] Leibniz Univ Hannover, Inst Algebra Geometrie, D-30060 Hannover, Germany

[3] Univ Bath, Dept Math Sci, Bath BA2 7AY, Avon, England

来源：

JOURNAL OF DIFFERENTIAL GEOMETRY | 2011年 / 88卷 / 01期

关键词：

MONODROMY; SHEAVES; FORMS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study moduli spaces of O'Grady's ten-dimensional irreducible symplectic manifolds. These moduli spaces are covers of modular varieties of dimension 21, namely quotients of hermitian symmetric domains by a suitable arithmetic group. The interesting and new aspect of this case is that the group in question is strictly bigger than the stable orthogonal group. This makes it different from both the K3 and the K3([n]) case, which are of dimension 19 and 20 respectively.

引用

页码：61 / 85

页数：25

共 23 条

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