Resolutions of determinantal ideals: \(t\)-minors of \((t+2)\times{} n\) matrices

DOI10.1016/0021-8693(91)90320-8zbMath0743.13007OpenAlexW2010087049MaRDI QIDQ1178932

Mitsuyasu Hashimoto

Publication date: 26 June 1992

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

Full work available at URL: https://doi.org/10.1016/0021-8693(91)90320-8

zbMATH Keywords

Koszul complexEagon-Northcott complexAkin-Buchsbaum-Weyman complexBetti numbers of the resolutioncharacteristic free representationresolutions of determinantal ideals

Mathematics Subject Classification ID

Linkage, complete intersections and determinantal ideals (13C40) Determinantal varieties (14M12) Syzygies, resolutions, complexes and commutative rings (13D02)

Related Items (3)

Second syzygy of determinantal ideals generated by minors of generic symmetric matrices ⋮ Minimal resolutions and the homology of matching and chessboard complexes ⋮ NEW CONSTRUCTION OF THE EAGON-NORTHCOTT COMPLEX

Cites Work

• Unnamed Item
• Characteristic-free representation theory of the general linear group
• Resolutions of determinantal ideals: The submaximal minors
• Schur functors and Schur complexes
• Resolutions of determinantal ideals: \(n\)-minors of \((n+2)\)-square matrices
• Syzygies des variétés déterminantales
• Ideals defined by matrices and a certain complex associated with them
• Determinantal ideals without minimal free resolutions
• Cohen-Macaulay Rings, Invariant Theory, and the Generic Perfection of Determinantal Loci

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