On Ideals Generated by Monomials and One Binomial

DOI10.1142/S1005386707000582zbMath1140.13003arXivmath/0510030MaRDI QIDQ5386783

Margherita Barile

Publication date: 14 May 2008

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

Full work available at URL: https://arxiv.org/abs/math/0510030

zbMATH Keywords

monomialsbinomialsset-theoretic complete intersectionsarithmetical rank

Mathematics Subject Classification ID

Complete intersections (14M10) Étale and other Grothendieck topologies and (co)homologies (14F20) Commutative rings and modules of finite generation or presentation; number of generators (13E15)

Related Items (4)

ARITHMETICAL RANK OF THE CYCLIC AND BICYCLIC GRAPHS ⋮ Local cohomology modules supported at determinantal ideals ⋮ On the Arithmetical Rank of an Intersection of Ideals ⋮ Schmitt-Vogel type lemma for reductions

Cites Work

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• Note on set-theoretic intersections of subvarieties of projective space
• Monomial Gorenstein curves in \(A^4\) as set-theoretic complete intersections
• On the number of equations defining certain varieties
• Arithmetical ranks of ideals associated to symmetric and alternating matrices
• Cohomological dimension of algebraic varieties
• Set-theoretic complete intersections on binomials
• Almost complete intersection monomial curves inA⁴
• The Number of Equations Defining a Determinantal Variety
• On Ideals Whose Radical Is a Monomial Ideal
• Certain Minimal Varieties Are Set-Theoretic Complete Intersections

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