Orlov's theorem for dg-algebras

IF 1.5 1区数学 Q1 MATHEMATICS

Advances in Mathematics Pub Date : 2024-11-26 DOI:10.1016/j.aim.2024.110035

Michael K. Brown , Prashanth Sridhar

引用次数: 0

Abstract

A landmark theorem of Orlov relates the singularity category of a graded Gorenstein algebra to the derived category of the associated noncommutative projective scheme. We generalize this theorem to the setting of differential graded algebras. As an application, we obtain new cases of the Lattice Conjecture in noncommutative Hodge theory.

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二元数组的奥洛夫定理

奥洛夫（Orlov）的一个具有里程碑意义的定理将分级戈伦斯坦代数的奇点范畴与相关非交换投影方案的派生范畴联系起来。我们将这一定理推广到微分级数代数的环境中。作为应用，我们得到了非交换霍奇理论中的格点猜想的新案例。

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

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.