分类连接

IF 3.5 1区数学 Q1 MATHEMATICS

Journal of the American Mathematical Society Pub Date : 2018-03-31 DOI:10.1090/jams/963

A. Kuznetsov, Alexander Perry

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引用次数: 21

摘要

我们引入了范畴联接的概念，它可以被认为是两个射影变体的经典联接的范畴化。这个概念是在同调射影对偶的精神中，它对经典射影对偶进行了分类。我们的主要定理是说，范畴联结的同调射影对偶范畴自然地等价于同调射影对偶范畴的范畴联结。这分类了经典版本的这个断言，并有许多应用，包括一个非线性版本的主要定理的同调投影对偶。

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Categorical joins

We introduce the notion of a categorical join, which can be thought of as a categorification of the classical join of two projective varieties. This notion is in the spirit of homological projective duality, which categorifies classical projective duality. Our main theorem says that the homological projective dual category of the categorical join is naturally equivalent to the categorical join of the homological projective dual categories. This categorifies the classical version of this assertion and has many applications, including a nonlinear version of the main theorem of homological projective duality.

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来源期刊

Journal of the American Mathematical Society 数学-数学

CiteScore

7.60

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： All articles submitted to this journal are peer-reviewed. The AMS has a single blind peer-review process in which the reviewers know who the authors of the manuscript are, but the authors do not have access to the information on who the peer reviewers are. This journal is devoted to research articles of the highest quality in all areas of pure and applied mathematics.