On the number of equations defining certain varieties

DOI10.1007/BF02567968zbMath0874.14044MaRDI QIDQ1353048

Margherita Barile

Publication date: 13 April 1997

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/156243

zbMATH Keywords

monomial idealarithmetical rankminimal number of equations

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Complete intersections (14M10)

Related Items (12)

Arithmetical Ranks of Stanley–Reisner Ideals Via Linear Algebra ⋮ Upper bounds for the arithmetical ranks of monomial ideals ⋮ On Ideals Generated by Monomials and One Binomial ⋮ Arithmetical rank of Gorenstein squarefree monomial ideals of height three ⋮ Arithmetical Rank of Squarefree Monomial Ideals Generated by Five Elements or with Arithmetic Degree Four ⋮ On Ideals Whose Radical Is a Monomial Ideal ⋮ Regularity, depth and arithmetic rank of bipartite edge ideals ⋮ Certain Minimal Varieties Are Set-Theoretic Complete Intersections ⋮ Schmitt-Vogel type lemma for reductions ⋮ Unmixedness and arithmetic properties of matroidal ideals ⋮ Arithmetical rank of squarefree monomial ideals of small arithmetic degree ⋮ Lyubeznik resolutions and the arithmetical rank of monomial ideals

Cites Work

• Unnamed Item
• On set-theoretic intersections and connectedness of algebraic varieties in \(\mathbb P^n\)
• A new explicit finite free resolution of ideals generated by monomials in an R-sequence
• Cohomological dimension of algebraic varieties

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