Groebner bases of nested configurations
Satoshi Aoki, Takayuki Hibi, Hidefumi Ohsugi, Akimichi Takemura
TL;DR
This paper introduces a new family of configurations with quadratic Groebner bases and explores their application to generalized Segre-Veronese algebras.
Contribution
It presents a novel class of configurations with quadratic Groebner bases and extends the theory to generalized Segre-Veronese algebras.
Findings
Identification of a large family of configurations with quadratic Groebner bases
Application to generalized Segre-Veronese algebras
Potential implications for algebraic geometry and combinatorics
Abstract
In this paper we introduce a new and large family of configurations whose toric ideals possess quadratic Groebner bases. As an application, a generalization of algebras of Segre-Veronese type will be studied.
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