Invariant stability conditions of local P1×P1 (after Del Monte-Longhi)

IF 0.8 2区数学 Q2 MATHEMATICS

Journal of Algebra Pub Date : 2025-03-13 DOI:10.1016/j.jalgebra.2025.03.005

Yirui Xiong

引用次数: 0

Abstract

Let X be the total space of the canonical bundle of

P^{1} \times P^{1}

, we study an invariant subspace of stability conditions on X under an autoequivalence of

D^{b} (X)

. We describe the complete set of stable objects with respect to the invariant stability conditions and characterize the space of invariant stability conditions.

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局部P1×P1不变稳定性条件（Del Monte-Longhi后）

设X为P1×P1正则束的总空间，在Db(X)的自等价下，研究了X上稳定条件的不变子空间。我们用不变稳定条件描述了稳定对象的完备集，并刻画了不变稳定条件的空间。

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.