Toric Ideals Generated by Circuits

DOI10.1142/S1005386712000533zbMath1280.13006arXiv0812.0195OpenAlexW2963406453MaRDI QIDQ2859253

Rafael H. Villarreal, José Martínez-Bernal

Publication date: 7 November 2013

Published in: Algebra Colloquium (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0812.0195

zbMATH Keywords

multigraphcircuitstoric idealnormal configurationedge subring

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Integral closure of commutative rings and ideals (13B22) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Combinatorial aspects of matroids and geometric lattices (05B35)

Related Items (7)

A determinantal formula for circuits of integer lattices ⋮ Toric ideals and their circuits ⋮ On complete intersection toric ideals of graphs ⋮ Generalized robust toric ideals ⋮ Universally free numerical semigroups ⋮ On robustness and related properties on toric ideals ⋮ Linear codes over signed graphs

Cites Work

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• Properties of cut ideals associated to ring graphs
• The circuit ideal of a vector configuration
• Polar syzygies in characteristic zero: The monomial case
• Ring graphs and complete intersection toric ideals
• The integral closure of subrings associated to graphs
• On the normality of Rees algebras associated to totally unimodular matrices
• Set-theoretic complete intersections on binomials
• Introduction to Toric Varieties. (AM-131)
• Ring graphs and toric ideals
• Constraints for the normality of monomial subrings and birationality
• Rees algebras of edge ideals

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