椭圆理想正切锥的戈伦斯坦性

Pub 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

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。
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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 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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