Equations Defining Toric Varieties
Bernd Sturmfels
TL;DR
This paper explores the defining ideals of toric varieties, focusing on their algebraic equations, and discusses open problems in the field of algebraic geometry related to toric ideals.
Contribution
It provides a detailed analysis of equations defining toric varieties and presents several open problems for future research.
Findings
Identification of key equations defining toric varieties
Discussion of unresolved problems in toric ideal theory
Framework for understanding monomial parametrizations
Abstract
This article will appear in the proceedings of the AMS Summer Institute in Algebraic Geometry at Santa Cruz, July 1995. The topic is toric ideals, by which I mean the defining ideals of subvarieties of affine or projective space which are parametrized by monomials. Numerous open problems are given.
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Taxonomy
TopicsCommutative Algebra and Its Applications · Polynomial and algebraic computation · Algebraic Geometry and Number Theory