Homological projective duality for quadrics

IF 0.9 1区数学 Q2 MATHEMATICS

Journal of Algebraic Geometry Pub Date : 2019-02-26 DOI:10.1090/JAG/767

A. Kuznetsov, Alexander Perry

引用次数: 11

Abstract

We show that over an algebraically closed field of characteristic not equal to 2, homological projective duality for smooth quadric hypersurfaces and for double covers of projective spaces branched over smooth quadric hypersurfaces is a combination of two operations: one interchanges a quadric hypersurface with its classical projective dual and the other interchanges a quadric hypersurface with the double cover branched along it.

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二次曲面的同调投影对偶性

我们证明了在特征不等于2的代数闭域上，光滑二次超曲面和分支于光滑二次超曲面上的投影空间的双覆盖的同调射影对偶性是两个操作的组合:一个是将二次超曲面与其经典射影对偶交换，另一个是将二次超曲面与沿其分支的双覆盖交换。

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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来源期刊

Journal of Algebraic Geometry 数学-数学

CiteScore

2.70

自引率

5.60%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Algebraic Geometry is devoted to research articles in algebraic geometry, singularity theory, and related subjects such as number theory, commutative algebra, projective geometry, complex geometry, and geometric topology. This journal, published quarterly with articles electronically published individually before appearing in an issue, is distributed by the American Mathematical Society (AMS). In order to take advantage of some features offered for this journal, users will occasionally be linked to pages on the AMS website.