拉斯库类型分辨率，派生类别和翻转

IF 0.8 2区数学 Q2 MATHEMATICS

Journal of Algebra Pub Date : 2025-08-29 DOI:10.1016/j.jalgebra.2025.07.053

Qingyuan Jiang

引用次数: 0

摘要

本文介绍了Lascoux型配合物，它扩展了Lascoux配合物来求解一般决定论理想。当分析行列式奇异点的两种不同分辨率之间的对应关系时，这些拉斯库型复合体自然产生。我们还讨论了这些分辨率在各种几何环境中的应用，包括放大、标准翻转、虚拟翻转和投影。

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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Lascoux-type resolutions, derived categories, and flips

This paper introduces Lascoux-type complexes that extend the Lascoux complexes for resolving generic determinantal ideals. These Lascoux-type complexes naturally arise when analyzing the correspondences between two different types of resolutions of singularities of determinantal varieties. We also discuss the applications of these resolutions in various geometric contexts, including blowups, standard flips, virtual flips, and projectivizations.

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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.