有理同质空间上的同质 ACM 和乌尔里希束

IF 1 3区数学 Q1 MATHEMATICS

Forum Mathematicum Pub Date : 2024-03-22 DOI:10.1515/forum-2023-0383

Xinyi Fang

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引用次数: 0

摘要

在本文中，我们描述了有理同质空间上的同质算术科恩-麦考莱（ACM）束和乌尔里希束。从这一结果中，我们发现在这些变体上只有有限多个不可还原的同质 ACM 束（直到扭曲）和 Ulrich 束。此外，我们还给出了一些特殊的不可还原同质束成为 ACM 束的数值标准。

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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Homogeneous ACM and Ulrich bundles on rational homogeneous spaces

In this paper, we characterize homogeneous arithmetically Cohen–Macaulay (ACM) bundles and Ulrich bundles on rational homogeneous spaces. From this result, we see that there are only finitely many irreducible homogeneous ACM bundles (up to twist) and Ulrich bundles on these varieties. Moreover, we give numerical criteria for some special irreducible homogeneous bundles to be ACM bundles.

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来源期刊

Forum Mathematicum 数学-数学

CiteScore

1.60

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Forum Mathematicum is a general mathematics journal, which is devoted to the publication of research articles in all fields of pure and applied mathematics, including mathematical physics. Forum Mathematicum belongs to the top 50 journals in pure and applied mathematics, as measured by citation impact.