曲面上聚稳定轴的变形:二次性意味着形式

IF 0.6 4区数学 Q3 MATHEMATICS

Moscow Mathematical Journal Pub Date : 2019-02-18 DOI:10.17323/1609-4514-2022-22-2-239-263

R. Bandiera, M. Manetti, Francesco Meazzini

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引用次数: 7

摘要

研究了复射影格式上相干轴的Kuranishi族的二次性与其派生自同态的DG-Lie代数的形式性之间的关系。特别地，我们证明了对于光滑复射影表面上的多稳相干束，其派生自同态的DG-Lie代数当且仅当Kuranishi族是二次的。

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Deformations of Polystable Sheaves on Surfaces: Quadraticity Implies Formality

We study relations between the quadraticity of the Kuranishi family of a coherent sheaf on a complex projective scheme and the formality of the DG-Lie algebra of its derived endomorphisms. In particular, we prove that for a polystable coherent sheaf on a smooth complex projective surface the DG-Lie algebra of derived endomorphisms is formal if and only if the Kuranishi family is quadratic.

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来源期刊

Moscow Mathematical Journal 数学-数学

CiteScore

1.40

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Moscow Mathematical Journal (MMJ) is an international quarterly published (paper and electronic) by the Independent University of Moscow and the department of mathematics of the Higher School of Economics, and distributed by the American Mathematical Society. MMJ presents highest quality research and research-expository papers in mathematics from all over the world. Its purpose is to bring together different branches of our science and to achieve the broadest possible outlook on mathematics, characteristic of the Moscow mathematical school in general and of the Independent University of Moscow in particular. An important specific trait of the journal is that it especially encourages research-expository papers, which must contain new important results and include detailed introductions, placing the achievements in the context of other studies and explaining the motivation behind the research. The aim is to make the articles — at least the formulation of the main results and their significance — understandable to a wide mathematical audience rather than to a narrow class of specialists.