论K3$^{[n]}$型投影超凯勒积分的交映双理自映射

IF 0.9 2区数学 Q2 MATHEMATICS

International Mathematics Research Notices Pub Date : 2024-05-29 DOI:10.1093/imrn/rnae112

Yajnaseni Dutta, Dominique Mattei, Yulieth Prieto-Montañez

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引用次数: 0

摘要

我们证明，K3$^{[n]}$型的投影超凯勒流形，如果允许有限阶的非难交映双向自映射，则与 K3 曲面上的稳定（扭曲）相干剪切的模空间同构。受这一结果的启发，我们分析了剪切的模空间的动锥上的反射，并确定它们何时来自双向卷积。

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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On Symplectic Birational Self-Maps of Projective Hyperkähler Manifolds of K3$^{[n]}$-Type

We prove that projective hyperkähler manifolds of K3$^{[n]}$-type admitting a non-trivial symplectic birational self-map of finite order are isomorphic to moduli spaces of stable (twisted) coherent sheaves on K3 surfaces. Motivated by this result, we analyze the reflections on the movable cone of moduli spaces of sheaves and determine when they come from a birational involution.

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来源期刊

International Mathematics Research Notices 数学-数学

CiteScore

2.00

自引率

10.00%

发文量

316

审稿时长

1 months

期刊介绍： International Mathematics Research Notices provides very fast publication of research articles of high current interest in all areas of mathematics. All articles are fully refereed and are judged by their contribution to advancing the state of the science of mathematics.