The first syzygies of determinantal ideals

DOI10.1016/0021-8693(89)90140-3zbMath0703.13011OpenAlexW1980828793MaRDI QIDQ5899844

Kazuhiko Kurano

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0021-8693(89)90140-3

zbMATH Keywords

determinantal idealssyzygiesKoszul complexEagon-Northcott complexAkin-Buchsbaum-Weyman complex

Mathematics Subject Classification ID

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

Related Items (7)

Syzygies of \textit{GS} monomial curves and Weierstrass property ⋮ Smoothability and order bound for AS semigroups. ⋮ Refined F5 Algorithms for Ideals of Minors of Square Matrices ⋮ On relations on minors of generic symmetric matrices ⋮ Deformations and smoothability of certain AS monomial curves ⋮ Resolutions of determinantal ideals: \(n\)-minors of \((n+2)\)-square matrices ⋮ Linearly related polyominoes

Cites Work

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• Complexes associated with trace and evaluation. Another approach to Lascoux's resolution
• A new construction of the Eagon-Northcott complex
• Resolutions of determinantal ideals: The submaximal minors
• Schur functors and Schur complexes
• Syzygies des variétés déterminantales
• Ideals defined by matrices and a certain complex associated with them
• The Syzygies and Semi-Regularity of Certain Ideals Defined by Matrices
• Cohen-Macaulay Rings, Invariant Theory, and the Generic Perfection of Determinantal Loci
• ON CERTAIN POLYNOMIAL IDEALS DEFINED BY MATRICES

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