Gorensteinness for normal tangent cones of elliptic ideals

IF 0.8 2区 数学 Q2 MATHEMATICS Journal of Pure and Applied Algebra Pub Date : 2025-01-01 Epub Date: 2024-08-08 DOI:10.1016/j.jpaa.2024.107791
Tomohiro Okuma , Kei-ichi Watanabe , Ken-ichi Yoshida
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引用次数: 0

Abstract

Let A be a two-dimensional excellent normal Gorenstein local domain. In this paper, we characterize elliptic ideals IA for its normal tangent cone 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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椭圆理想正切锥的戈伦斯坦性
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。
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来源期刊
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.
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