类rees代数的规范模与类群

IF 0.8 3区数学 Q2 MATHEMATICS

Michigan Mathematical Journal Pub Date : 2022-01-01 DOI:10.1307/mmj/20205974

P. Mantero, J. McCullough, L. Miller

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引用次数: 0

摘要

类里斯代数在解决艾森布·戈托猜想中发挥了重要作用。本文讨论类里斯代数及其类群的规范模块的结构。通过基于链接的显式计算，我们提供了一种基于double-Koszul复合体的规范模块的显式和令人惊讶的结构良好的解析。此外，我们给出了类rees代数的除数类群和Picard群的描述。

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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Canonical Modules and Class Groups of Rees-Like Algebras

Rees-like algebras have played a major role in settling the EisenbudGoto conjecture. This article concerns the structure of the canonical module of the Rees-like algebra and its class groups. Via an explicit computation based on linkage, we provide an explicit and surprisingly well-structured resolution of the canonical module in terms of a type of double-Koszul complex. Additionally, we give descriptions of both the divisor class group and the Picard group of a Rees-like algebra.

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来源期刊

Michigan Mathematical Journal 数学-数学

CiteScore

1.20

自引率

11.10%

发文量

审稿时长

>12 weeks

期刊介绍： The Michigan Mathematical Journal is available electronically through the Project Euclid web site. The electronic version is available free to all paid subscribers. The Journal must receive from institutional subscribers a list of Internet Protocol Addresses in order for members of their institutions to have access to the online version of the Journal.