Binomial vanishing ideals
Azucena Tochimani, Rafael H. Villarreal
TL;DR
This paper characterizes the conditions under which graded vanishing ideals are generated by binomials, providing algebraic and geometric insights applicable over any field.
Contribution
It offers a comprehensive algebraic and geometric characterization of binomial-generated vanishing ideals over arbitrary fields.
Findings
Provides necessary and sufficient conditions for binomial generation
Extends previous results to arbitrary fields
Enhances understanding of algebraic structures of vanishing ideals
Abstract
In this paper we characterize, in algebraic and geometric terms, when a graded vanishing ideal is generated by binomials over any field K.
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Taxonomy
TopicsCommutative Algebra and Its Applications · Rings, Modules, and Algebras · Advanced Topics in Algebra