An Explicit, Characteristic-Free, Equivariant Homology Equivalence Between Koszul Complexes

DOI10.1080/00927870802107140zbMath1161.13006OpenAlexW2128582256MaRDI QIDQ3529055

Andrew R. Kustin

Publication date: 20 October 2008

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

Full work available at URL: https://doi.org/10.1080/00927870802107140

zbMATH Keywords

Koszul complexduality of Koszul complexesequivariant quasi-isomorphismexplicit homological computation

Mathematics Subject Classification ID

Cites Work

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• The resolution of the universal ring for modules of rank zero and projective dimension two
• Schur functors and Schur complexes
• Generic free resolutions and a family of generically perfect ideals
• Syzygies des variétés déterminantales
• On the Betti numbers of chessboard complexes
• Semigroup rings and simplicial complexes
• Minimal resolutions and the homology of matching and chessboard complexes
• On the minimal free resolution of the universal ring for resolutions of length two
• Algebra Structures for Finite Free Resolutions, and Some Structure Theorems for Ideals of Codimension 3
• The Dedekind-Mertens formula and determinantal rings
• THE COHOMOLOGY OF THE KOSZUL COMPLEXES ASSOCIATED TO THE TENSOR PRODUCT OF TWO FREE MODULES
• Matching complexes, bounded degree graph complexes, and weight spaces of \(\mathrm{GL}_n\)-complexes

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