Ample line bundles and generation time

IF 1.2 1区数学 Q1 MATHEMATICS

Journal fur die Reine und Angewandte Mathematik Pub Date : 2023-06-27 DOI:10.1515/crelle-2023-0036

Noah Olander

引用次数: 0

Abstract

Abstract We prove that if X is a regular quasi-projective variety of dimension d, the set of line bundles { 𝒪 X ⁢ ( n ) } n ∈ ℤ {\{\mathcal{O}_{X}(n)\}_{n\in{\mathbb{Z}}}} generates the bounded derived category of X in d steps. This proves new cases of a conjecture of Orlov as well as a conjecture of Elagin and Lunts.

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充足的线束和生成时间

摘要证明了如果X是维数d的正则拟射影集，则线束{ X≠(n)} n∈0 {\ \mathcal{O}_{X}(n)\} {n\in{\mathbb{Z}}}}在d步中生成了X的有界派生范畴。这证明了奥尔洛夫猜想以及埃拉金和伦特猜想的新情况。

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 fur die Reine und Angewandte Mathematik 数学-数学

CiteScore

2.50

自引率

6.70%

发文量

审稿时长

6-12 weeks

期刊介绍： The Journal für die reine und angewandte Mathematik is the oldest mathematics periodical still in existence. Founded in 1826 by August Leopold Crelle and edited by him until his death in 1855, it soon became widely known under the name of Crelle"s Journal. In the almost 180 years of its existence, Crelle"s Journal has developed to an outstanding scholarly periodical with one of the worldwide largest circulations among mathematics journals. It belongs to the very top mathematics periodicals, as listed in ISI"s Journal Citation Report.