Irreducible symplectic varieties from moduli spaces of sheaves on K3 and Abelian surfaces

IF 1.2 1区数学 Q1 MATHEMATICS

Algebraic Geometry Pub Date : 2018-02-04 DOI:10.14231/ag-2023-012

A. Perego, A. Rapagnetta

引用次数: 0

Abstract

We show that the moduli spaces of sheaves on a projective K3 surface are irreducible symplectic varieties, and that the same holds for the fibers of the Albanese map of moduli spaces of sheaves on an Abelian surface.

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K3和Abelian曲面上束模空间的不可约辛变

我们证明了在投影K3表面上的槽轮的模空间是不可约的辛变体，并且对于阿贝尔表面上槽轮模空间的Albanese映射的纤维也是如此。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Algebraic Geometry Mathematics-Geometry and Topology

CiteScore

2.40

自引率

0.00%

发文量

审稿时长

52 weeks

期刊介绍： This journal is an open access journal owned by the Foundation Compositio Mathematica. The purpose of the journal is to publish first-class research papers in algebraic geometry and related fields. All contributions are required to meet high standards of quality and originality and are carefully screened by experts in the field.