Segre classes of monomial schemes

Q3 Mathematics

Electronic Research Announcements in Mathematical Sciences Pub Date : 2013-02-28 DOI:10.3934/era.2013.20.55

P. Aluffi

引用次数: 6

Abstract

We propose an explicit formula for the Segre classes of monomial subschemes of nonsingular varieties, such as schemes defined by monomial ideals in projective space. The Segre class is expressed as a formal integral on a region bounded by the corresponding Newton polyhedron. We prove this formula for monomial ideals in two variables and verify it for some families of examples in any number of variables.

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单项式方案的分离类

我们给出了非奇异变量的单项式子方案的Segre类的一个显式公式，例如由射影空间中的单项式理想定义的方案。Segre类被表示为以牛顿多面体为界的区域上的形式积分。我们在两个变量的单项式理想下证明了这个公式，并在任意多个变量的一些族的例子中验证了它。

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

Electronic Research Announcements in Mathematical Sciences 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Electronic Research Archive (ERA), formerly known as Electronic Research Announcements in Mathematical Sciences, rapidly publishes original and expository full-length articles of significant advances in all branches of mathematics. All articles should be designed to communicate their contents to a broad mathematical audience and must meet high standards for mathematical content and clarity. After review and acceptance, articles enter production for immediate publication. ERA is the continuation of Electronic Research Announcements of the AMS published by the American Mathematical Society, 1995—2007