论局部环中的切尔数集

IF 0.3 Q4 MATHEMATICS Acta Mathematica Vietnamica Pub Date : 2023-12-05 DOI:10.1007/s40306-023-00517-1

Le Truong Hoang, Ngoc Yen Hoang

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引用次数: 0

摘要

本文旨在描述诺特局部环（(R, \mathfrak {m})）的特征，即 R 中某些 \(\mathfrak {m}\)-主理想的切尔数在上面是有界的，或者只在有限多个值之间。因此，我们根据局部环的 Chern 数的行为来描述它们的 Gorensteinness、Cohen-Macaulayness 和广义 Cohen-Macaulayness 特性。

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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On the Set of Chern Numbers in Local Rings

The purpose of this paper is to characterize Noetherian local rings \((R, \mathfrak {m})\) such that the Chern numbers of certain \(\mathfrak {m}\)-primary ideals in R are bounded above or range among only finitely many values. Consequently, we characterize the Gorensteinness, Cohen-Macaulayness, and generalized Cohen-Macaulayness of local rings in terms of the behavior of their Chern numbers.

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来源期刊

Acta Mathematica Vietnamica MATHEMATICS-

CiteScore

0.90

自引率

0.00%

发文量

期刊介绍： Acta Mathematica Vietnamica is a peer-reviewed mathematical journal. The journal publishes original papers of high quality in all branches of Mathematics with strong focus on Algebraic Geometry and Commutative Algebra, Algebraic Topology, Complex Analysis, Dynamical Systems, Optimization and Partial Differential Equations.