Stability of associated forms

IF 0.9 1区数学 Q2 MATHEMATICS

Journal of Algebraic Geometry Pub Date : 2017-03-01 DOI:10.1090/JAG/719

M. Fedorchuk, A. Isaev

引用次数: 5

Abstract

We show that the associated form, or, equivalently, a Macaulay inverse system, of an Artinian complete intersection of type ( d , … , d ) (d,\dots , d) is polystable. As an application, we obtain an invariant-theoretic variant of the Mather-Yau theorem for homogeneous hypersurface singularities.

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关联形式的稳定性

我们证明了类型为（d，…，d）（d，\dots，d）的Artinian完全交的关联形式，或者等价地，Macaulay逆系统是多稳态的。作为一个应用，我们得到了齐次超曲面奇点的Mather-Yau定理的一个不变理论变体。

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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来源期刊

Journal of Algebraic Geometry 数学-数学

CiteScore

2.70

自引率

5.60%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Algebraic Geometry is devoted to research articles in algebraic geometry, singularity theory, and related subjects such as number theory, commutative algebra, projective geometry, complex geometry, and geometric topology. This journal, published quarterly with articles electronically published individually before appearing in an issue, is distributed by the American Mathematical Society (AMS). In order to take advantage of some features offered for this journal, users will occasionally be linked to pages on the AMS website.