椭圆理想正切锥的戈伦斯坦性

IF 0.7 2区数学 Q2 MATHEMATICS

Journal of Pure and Applied Algebra Pub Date : 2024-08-08 DOI:10.1016/j.jpaa.2024.107791

Tomohiro Okuma , Kei-ichi Watanabe , Ken-ichi Yoshida

引用次数: 0

摘要

设 A 是一个二维优秀正交 Gorenstein 局部域。本文描述了椭圆理想 I⊂A 的正切锥 G‾(I) 是 Gorenstein 的特征。此外，我们还对特征零情况下 Gorenstein 椭圆奇点中的所有理想进行了分类。

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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Gorensteinness for normal tangent cones of elliptic ideals

Let A be a two-dimensional excellent normal Gorenstein local domain. In this paper, we characterize elliptic ideals $I \subset A$ for its normal tangent cone $\overline{G} (I)$ to be Gorenstein. Moreover, we classify all those ideals in a Gorenstein elliptic singularity in the characteristic zero case.

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来源期刊

Journal of Pure and Applied Algebra 数学-数学

CiteScore

1.70

自引率

12.50%

发文量

225

审稿时长

17 days

期刊介绍： The Journal of Pure and Applied Algebra concentrates on that part of algebra likely to be of general mathematical interest: algebraic results with immediate applications, and the development of algebraic theories of sufficiently general relevance to allow for future applications.