SUBCOMPLEXES OF CERTAIN FREE RESOLUTIONS

IF 0.8 2区数学 Q2 MATHEMATICS

Nagoya Mathematical Journal Pub Date : 2024-03-25 DOI:10.1017/nmj.2024.7

MAYA BANKS, ALEKSANDRA SOBIESKA

引用次数: 0

Abstract

We invoke the Bernstein–Gel

$'$

fand–Gel

$'$

fand (BGG) correspondence to study subcomplexes of free resolutions given by two well-known complexes, the Koszul and the Eagon–Northcott. This approach provides a complete characterization of the ranks of free modules in a subcomplex in the Koszul case and imposes numerical restrictions in the Eagon–Northcott case.

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某些自由决议的子复数

我们引用伯恩斯坦-格尔$'$范德-格尔$'$范德（BGG）对应关系来研究由两个著名复数--科斯祖尔（Koszul）和埃贡-诺斯考特（Eagon-Northcott）--给出的自由解析子复数。在科斯祖尔情况下，这种方法提供了子复数中自由模块等级的完整表征，而在埃贡-诺斯考特情况下，则施加了数值限制。

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

Nagoya Mathematical Journal 数学-数学

CiteScore

1.60

自引率

0.00%

发文量

审稿时长

6 months

期刊介绍： The Nagoya Mathematical Journal is published quarterly. Since its formation in 1950 by a group led by Tadashi Nakayama, the journal has endeavoured to publish original research papers of the highest quality and of general interest, covering a broad range of pure mathematics. The journal is owned by Foundation Nagoya Mathematical Journal, which uses the proceeds from the journal to support mathematics worldwide.