派生报价栈上的位移辛结构II -作为dg流形的派生报价格式

IF 1.5 1区数学 Q1 MATHEMATICS

Advances in Mathematics Pub Date : 2025-02-01 DOI:10.1016/j.aim.2024.110092

Dennis Borisov , Ludmil Katzarkov , Artan Sheshmani

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引用次数: 0

摘要

证明了由Ciocan-Fontanine和Kapranov定义的派生的quote -格式是用有限型dg流形表示的。本文是研究Calabi-Yau流形上相干束模空间上的位移辛结构的第二部分。第一部分将dg流形与Toën和Vezzosi定义的派生格式联系起来。

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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Shifted symplectic structures on derived Quot-stacks II – derived Quot-schemes as dg manifolds

It is proved that derived

Q u o t

-schemes, as defined by Ciocan-Fontanine and Kapranov, are represented by dg manifolds of finite type. This is the second part of a work aimed to analyze shifted symplectic structures on moduli spaces of coherent sheaves on Calabi–Yau manifolds. The first part related dg manifolds to derived schemes as defined by Toën and Vezzosi.

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来源期刊

Advances in Mathematics 数学-数学

CiteScore

2.80

自引率

5.90%

发文量

497

审稿时长

7.5 months

期刊介绍： Emphasizing contributions that represent significant advances in all areas of pure mathematics, Advances in Mathematics provides research mathematicians with an effective medium for communicating important recent developments in their areas of specialization to colleagues and to scientists in related disciplines.