Gröbner Bases of Simplicial Toric Ideals

DOI10.1017/S002776300000979XzbMath1193.13029arXiv0910.0583MaRDI QIDQ5851034

Lê Tuân Hoa, Jürgen Stückrad, Michael Hellus

Publication date: 21 January 2010

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0910.0583

zbMATH Keywords

Gröbner basesrevlexicographic ordersimplicial toric rings

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10)

Related Items (2)

Hilbert basis of the Lipman semigroup ⋮ Quadratic Gröbner bases for smooth \(3\times 3\) transportation polytopes

Uses Software

• CoCoA
• MonomialAlgebras

Cites Work

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• Some features of \(CoCoA 3\)
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• Castelnuovo-Mumford regularity of projective monomial varieties of codimension two
• Castelnuovo-Mumford regularity of initial ideals
• Equations Defining Toric Varieties
• Castelnuovo–Mumford regularity of simplicial semigroup rings with isolated singularity

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