The algebraic structure and deformation of Pfaffian schemes

DOI10.1016/0021-8693(80)90140-4zbMath0434.14004OpenAlexW2053046695MaRDI QIDQ1139638

Dan Laksov, Hans Kleppe

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1016/0021-8693(80)90140-4

zbMATH Keywords

deformationsGorenstein schemedeterminantal schemesgeneric pfaffian schemes

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Grassmannians, Schubert varieties, flag manifolds (14M15) Formal methods and deformations in algebraic geometry (14D15)

Related Items

Boundary manifolds of projective hypersurfaces, Ideals generated by principal minors, Principal minor ideals and rank restrictions on their vanishing sets, Automorphisms of \(\det (X_{ij}):\) The group scheme approach, Kustin--Miller unprojection with complexes, Local cohomology modules supported at determinantal ideals, Kustin--Miller unprojection with complexes, Pfaffian ideals of ladders, Divisor class group and canonical class of rings defined by ideals of pfaffians, Initial ideals of Pfaffian ideals, The algebraic structure and deformation of Pfaffian schemes, When are the natural embeddings of classical invariant rings pure?, Gröbner bases of ideals cogenerated by Pfaffians, The Arithmetic Perfection of Buchsbaum-Eisenbud Varieties and Generic Modules of Projective Dimension Two, Criteria for equality of radicals of ideals., Unnamed Item, A general resolution for grade four Gorenstein ideals, Gröbner bases and multiplicity of determinantal and Pfaffian ideals, On the computation of a-invariants, Geometric transitions, An alternating matrix and a vector, with application to Aluffi algebras, The Jacobian Module of a Lie Algebra, Extremal transitions and five-dimensional supersymmetric field theories, G-biliaison of ladder pfaffian varieties, On jet schemes of Pfaffian ideals, On linear transformations preserving rank one matrices over commutative rings

Cites Work

• The algebraic structure and deformation of Pfaffian schemes
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• A characteristic free approach to invariant theory
• Hilbert functions of graded algebras
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• Algebra Structures for Finite Free Resolutions, and Some Structure Theorems for Ideals of Codimension 3
• A Generalized Koszul Complex. I
• Generically acyclic complexes and generically perfect ideals
• Cohen-Macaulay Rings, Invariant Theory, and the Generic Perfection of Determinantal Loci
• Ordered structures and partitions
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