K�hlerness of moduli spaces of stable sheaves over non-projective K3 surfaces

IF 1.2 1区数学 Q1 MATHEMATICS

Algebraic Geometry Pub Date : 2017-03-06 DOI:10.14231/AG-2019-020

A. Perego

引用次数: 6

Abstract

We show that a moduli space of slope-stable sheaves over a K3 surface is an irreducible hyperk\"ahler manifold if and only if its second Betti number is the sum of its Hodge numbers $h^{2,0}$, $h^{1,1}$ and $h^{0,2}$.

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非射影K3曲面上稳定轮轴模空间的K度

我们证明了K3表面上斜坡稳定槽轮的模空间是一个不可约的超k“ahler流形，当且仅当其第二个Betti数是其Hodge数$h^{2,0}$、$h^｛1,1}$和$h^｛0,2}$的和。

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.