关于单曲线切锥的多重性

Pub Date : 2017-11-29 DOI:10.4310/ARKIV.2019.v57.n1.a11

Alessio Sammartano

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引用次数: 0

摘要

设S是一个数值半群，R是与S相关的单曲线奇异性的局部环，G是其相关的分次环。在本文中，当G不是完全交时，我们根据G方程的余维数和最大次，给出了S中最小正整数的一个尖锐上界。这个结果的一个特例解决了J.赫尔佐格和D.斯塔马特的问题。

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 multiplicity of tangent cones of monomial curves

Let S be a numerical semigroup, R the local ring of the monomial curve singularity associated to S, and G its associated graded ring. In this paper we provide a sharp upper bound for the least positive integer in S in terms of the codimension and the maximum degree of the equations of G, when G is not a complete intersection. A special case of this result settles a question of J. Herzog and D. Stamate.

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