Néron–Severi李代数、导出范畴的自等价性和单调性

IF 0.6 4区数学 Q3 MATHEMATICS

Moscow Mathematical Journal Pub Date : 2020-09-19 DOI:10.17323/1609-4514-2022-22-4-705-739

V. Lunts

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引用次数: 0

摘要

这个预印本取代了以前的版本，以前的版本只是关于Kontsevich关于一个（弱）CY变种族的单调性与镜像对偶族中派生变种类别的自等价群对上同调的作用之间关系的猜想。在这里，我们增加了关于CY变种的导出范畴的自等价群与其Neron Severi李代数之间关系的另一个猜想。

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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Néron–Severi Lie Algebra, Autoequivalences of the Derived Category, and Monodromy

This preprint supersedes the previous version, which was only about Kontsevich's conjecture on the relation between the monodromy of a family of (weakly) CY varieties and the action on cohomology of the group of autoequivalences of the derived category of varieties in the mirror dual family. Here we add another conjecture about the relation of the group of autoequivalence of the derived category of a CY variety and its Neron-Severi Lie algebra.

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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.