Toric rings and ideals of nested configurations

DOI10.1216/JCA-2010-2-2-187zbMath1237.13053arXiv0907.3253MaRDI QIDQ412495

Takayuki Hibi, Hidefumi Ohsugi

Publication date: 4 May 2012

Published in: Journal of Commutative Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0907.3253

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10)

Related Items

On Syzygies for Rings of Invariants of Abelian Groups, Gröbner bases of contraction ideals, Lexicographic and reverse lexicographic quadratic Gröbner bases of cut ideals, Existence of unimodular triangulations — positive results, Low dimensional flow polytopes and their toric ideals

Cites Work

• Gröbner bases of nested configurations
• Quadratic Gröbner bases for smooth \(3\times 3\) transportation polytopes
• A normal \((0,1)\)-polytope none of whose regular triangulations is unimodular
• Toric ideals generalized by quadratic binomials
• Combinatorial pure subrings.
• Non-very ample configurations arising from contingency tables
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