Gröbner deformations, connectedness and cohomological dimension

DOI10.1016/j.jalgebra.2009.01.018zbMath1200.13029arXiv0802.1800OpenAlexW2019437873MaRDI QIDQ1048956

Matteo Varbaro

Publication date: 8 January 2010

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

Full work available at URL: https://arxiv.org/abs/0802.1800

zbMATH Keywords

connectednesscohomological dimensionlocal cohomologyGröbner deformation

Mathematics Subject Classification ID

Local cohomology and commutative rings (13D45) Computational homological algebra (13P20)

Related Items

Unnamed Item ⋮ Bounds on the regularity and projective dimension of ideals associated to graphs ⋮ On the diameter of an ideal ⋮ Koszul property of projections of the Veronese cubic surface ⋮ On the discrete counterparts of algebras with straightening laws ⋮ Simplicial ideals, 2-linear ideals and arithmetical rank ⋮ Frobenius methods in combinatorics ⋮ Koszulness, Krull dimension, and other properties of graph-related algebras ⋮ Connectivity of hyperplane sections of domains ⋮ Singularities and radical initial ideals ⋮ Toward a theory of monomial preorders ⋮ Regulating Hartshorne's connectedness theorem ⋮ Gröbner deformations ⋮ Cohomological dimension, Lyubeznik numbers, and connectedness in mixed characteristic ⋮ Square-free Gröbner degenerations ⋮ Connectedness and Lyubeznik Numbers ⋮ Connectedness of square-free Groebner deformations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A Künneth formula for coherent algebraic sheaves
• Linear free resolutions and minimal multiplicity
• Computing dimension and independent sets for polynomial ideals
• Some theorems about formal functions
• Initial complexes of prime ideals
• On formal local cohomology and connectedness
• Affine open subsets of algebraic varieties and ample divisors
• Cohomological dimension of algebraic varieties
• Local cohomology. A seminar given by A. Grothendieck, Harvard University, Fall 1961. Notes by R. Hartshorne
• Ample subvarieties of algebraic varieties. Notes written in collaboration with C. Musili
• Complete Intersections and Connectedness
• Cohomological dimension of certain algebraic varieties
• On superheight conditions for the affineness of open subsets.