简并座上关于aCM和Ulrich轴的一个猜想

IF 0.8 3区数学 Q2 MATHEMATICS

Mathematische Nachrichten Pub Date : 2025-02-17 DOI:10.1002/mana.202400324

Vladimiro Benedetti, Fabio Tanturri

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引用次数: 0

摘要

本文讨论了Kleppe和Miró-Roig的一个猜想，该猜想表明，当标准行列式轨迹为线性行列式时，标准行列式轨迹法向束外幂的线束（在光滑轨迹上）在算术上是Cohen-Macaulay，甚至是Ulrich。我们通过提供通过所谓的韦曼几何方法获得的这种束的非常简单的局部自由分辨率来做到这一点。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

On a conjecture on aCM and Ulrich sheaves on degeneracy loci

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On a conjecture on aCM and Ulrich sheaves on degeneracy loci

In this paper, we address a conjecture by Kleppe and Miró-Roig stating that suitable twists by line bundles (on the smooth locus) of the exterior powers of the normal sheaf of a standard determinantal locus are arithmetically Cohen–Macaulay, and even Ulrich when the locus is linear determinantal. We do so by providing a very simple locally free resolution of such sheaves obtained through the so-called Weyman's Geometric Method.

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来源期刊

Mathematische Nachrichten 数学-数学

CiteScore

1.50

自引率

0.00%

发文量

157

审稿时长

4-8 weeks

期刊介绍： Mathematische Nachrichten - Mathematical News publishes original papers on new results and methods that hold prospect for substantial progress in mathematics and its applications. All branches of analysis, algebra, number theory, geometry and topology, flow mechanics and theoretical aspects of stochastics are given special emphasis. Mathematische Nachrichten is indexed/abstracted in Current Contents/Physical, Chemical and Earth Sciences; Mathematical Review; Zentralblatt für Mathematik; Math Database on STN International, INSPEC; Science Citation Index