Symmetric algebras of modules arising from a fixed submatrix of a generic matrix

DOI10.1016/0022-4049(87)90131-9zbMath0643.13002OpenAlexW1993780625MaRDI QIDQ1101488

Winfried Bruns, Aaron Simis

Publication date: 1987

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(87)90131-9

zbMATH Keywords

determinantal idealsdivisor class groupsymmetric algebrageneric matrixCohen-Macaulay normal domain

Mathematics Subject Classification ID

Determinantal varieties (14M12) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Ideals and multiplicative ideal theory in commutative rings (13A15) Other special types of modules and ideals in commutative rings (13C13)

Related Items (3)

Free resolutions of certain codimension three perfect radical ideals ⋮ Rees algebras of unit interval determinantal facet ideals ⋮ The divisor class group of ordinary and symbolic blow-ups

Cites Work

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• Complete intersections and symmetric algebras
• On ideals of minors fixing a submatrix
• The canonical module of an associated graded ring
• On the dimension and integrality of symmetric algebras
• On the symmetric algebra of a module
• On the associated graded ring of an ideal
• Divisors on varieties of complexes
• A Complex That Resolves the Ideal of Minors Having n - 1 Columns in Common
• Cohen-Macaulay Rings, Invariant Theory, and the Generic Perfection of Determinantal Loci

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