Semiorthogonal decompositions for generalised Severi-Brauer schemes

IF 0.8 2区数学 Q2 MATHEMATICS

Journal of Algebra Pub Date : 2025-05-26 DOI:10.1016/j.jalgebra.2025.04.038

Ajneet Dhillon, Sayantan Roy-Chowdhury

引用次数: 0

Abstract

The purpose of this paper is to use conservative descent to study semiorthogonal decompositions for some homogeneous varieties over general bases. We produce a semiorthogonal decomposition for the bounded derived category of coherent sheaves on a generalised Severi-Brauer scheme. This extends known results for Severi-Brauer varieties and Grassmannians. We use our results to construct semiorthogonal decompositions for flag varieties over arbitrary bases. This generalises a result of Kapranov.

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广义Severi-Brauer格式的半正交分解

本文的目的是利用保守下降法研究一般基上齐次变异的半正交分解。给出了在广义Severi-Brauer格式上相干束的有界派生范畴的半正交分解。这扩展了已知的Severi-Brauer品种和Grassmannians的结果。我们利用我们的结果构造了任意基上标志变量的半正交分解。这推广了Kapranov的结果。

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 Algebra 数学-数学

CiteScore

1.50

自引率

22.20%

发文量

414

审稿时长

2-4 weeks

期刊介绍： The Journal of Algebra is a leading international journal and publishes papers that demonstrate high quality research results in algebra and related computational aspects. Only the very best and most interesting papers are to be considered for publication in the journal. With this in mind, it is important that the contribution offer a substantial result that will have a lasting effect upon the field. The journal also seeks work that presents innovative techniques that offer promising results for future research.