Set-theoretic complete intersections on binomials

DOI10.1090/S0002-9939-01-06289-XzbMath1062.14062MaRDI QIDQ2782615

Marcel Morales, Apostolos Thoma, Margherita Barile

Publication date: 8 April 2002

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

toric varietiesbinomial idealsaffine semigroups

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Linkage, complete intersections and determinantal ideals (13C40) Complete intersections (14M10)

Related Items (21)

DETERMINANTAL IDEALS AND MONOMIAL CURVES IN THE THREE-DIMENSIONAL SPACE ⋮ Local Cohomology—An Invitation ⋮ A note on Veronese varieties ⋮ On a special class of simplicial toric varieties ⋮ On set-theoretic complete intersection monomial curves in \(\mathbb P^3\) ⋮ Binomial generation of the radical of a lattice ideal ⋮ Set-theoretic complete intersection monomial curves in \({\mathbb{P}^n}\) ⋮ Binomial difference ideals ⋮ On Ideals Generated by Monomials and One Binomial ⋮ Arithmetical rank of toric ideals associated to graphs ⋮ Complete intersection lattice ideals ⋮ Set-theoretic complete intersection lattice ideals in monoid rings ⋮ Certain Minimal Varieties Are Set-Theoretic Complete Intersections ⋮ On toric varieties which are almost set-theoretic complete intersections ⋮ On the equations defining toric l.c.i.-singularities ⋮ On Binomial Equations Defining Rational Normal Scrolls ⋮ Producing set-theoretic complete intersection monomial curves in ℙⁿ ⋮ Complete intersections in toric ideals ⋮ COMPLETE INTERSECTIONS IN BINOMIAL AND LATTICE IDEALS ⋮ Toric Ideals Generated by Circuits ⋮ Stanley-Reisner rings and the radicals of lattice ideals

Cites Work

• Unnamed Item
• On regular sequences of binomials
• Radicals of binomial ideals
• On presentations of subsemigroups of \(\mathbb{N}^n\)
• Mixed matrices and binomial ideals
• Binomial ideals
• On the binomial arithmetical rank
• On simplicial toric varieties which are set-theoretic complete intersections
• On systems of binomials in the ideal of a toric variety
• Complete Intersections in Characteristic p > 0
• Set-Theoretic Complete Intersections
• Sous-monoïdes d'intersection complète de $N$
• Affine semigroup rings that are complete intersections
• On complete intersection affine semigroups

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