Divisor class group and canonical class of determinantal rings defined by ideals of minors of a symmetric matrix

DOI10.1007/BF01189823zbMath0803.13006MaRDI QIDQ1337772

Aldo Conca

Publication date: 13 November 1994

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

Gorenstein ringsdeterminantal rings

Mathematics Subject Classification ID

Linkage, complete intersections and determinantal ideals (13C40) Determinantal varieties (14M12) Class groups (13C20)

Related Items (7)

ON THE IDEALS OF MINORS OF PLURI-CIRCULANT MATRICES ⋮ A Gorenstein simplicial complex for symmetric minors ⋮ The geometry of Gaussian double Markovian distributions ⋮ Gröbner bases via linkage ⋮ Doset Hibi rings with an application to invariant theory ⋮ The structure of the inverse system of level \(K\)-algebras ⋮ A cascade of determinantal Calabi-Yau threefolds

Cites Work

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• On the Gorensteinness of determinantal loci
• The Veronesean subrings of Gorenstein rings
• A characteristic free approach to invariant theory
• The divisor class group of a certain Krull domain
• Gröbner bases of ideals of minors of a symmetric matrix
• Cohen-Macaulay Rings and Ideal Theory in Rings of Invariants of Algebraic Groups

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