Algebras of minors

DOI10.1006/jabr.2001.8964zbMath1015.13004arXivmath/0101117OpenAlexW2050742453MaRDI QIDQ5956265

Aldo Conca, Winfried Bruns

Publication date: 3 November 2002

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

Full work available at URL: https://arxiv.org/abs/math/0101117

zbMATH Keywords

determinantal idealsRees algebracanonical moduleHankel matricescanonical classSagbi bases

Mathematics Subject Classification ID

Linkage, complete intersections and determinantal ideals (13C40) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Related Items (7)

The variety of exterior powers of linear maps ⋮ Gröbner deformations and F‐singularities ⋮ Relations between the minors of a generic matrix ⋮ Projective normality of complete symmetric varieties ⋮ Knutson ideals and determinantal ideals of Hankel matrices ⋮ Multiplicities of classical varieties ⋮ Canonical modules of Rees algebras

Cites Work

• The divisor class group of ordinary and symbolic blow-ups
• Cohen-Macaulay Rees algebras and their specialization
• On the canonical module of the Rees algebra and the associated graded ring of an ideal
• Young diagrams and determinantal varieties
• Algebras defined by powers of determinantal idelas
• Arithmetic of normal Rees algebras
• Determinantal rings
• Gröbner bases and multiplicity of determinantal and Pfaffian ideals
• Straightening law and powers of determinantal ideals of Hankel matrices
• On the divisor class group of Rees-algebras
• Blow-up of Straightening-Closed Ideals in Ordinal Hodge Algebras
• On the Foundations of Combinatorial Theory: IX Combinatorial Methods in Invariant Theory
• Sagbi bases with applications to blow-up algebras.
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