Deformation and Unobstructedness of Determinantal Schemes

DOI10.1090/memo/1418zbMath1521.14002arXiv2007.12119OpenAlexW3045233491MaRDI QIDQ6158454

Jan O. Kleppe, Rosa Maria Miró-Roig

Publication date: 31 May 2023

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.12119

zbMATH Keywords

deformation theoryHilbert schemeunobstructednessdeterminantal schemes

Mathematics Subject Classification ID

Determinantal varieties (14M12) Families, moduli of curves (algebraic) (14H10) Parametrization (Chow and Hilbert schemes) (14C05) Research exposition (monographs, survey articles) pertaining to algebraic geometry (14-02) Families, moduli, classification: algebraic theory (14J10)

Related Items (1)

On Rees algebras of 2‐determinantal ideals

Cites Work

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• On the normal sheaf of determinantal varieties
• Deformations of modules of maximal grade and the Hilbert scheme at determinantal schemes
• Linear determinantal equations for all projective schemes
• Families of low dimensional determinantal schemes
• On minimal free resolutions of projective varieties of degree = codimension + 2
• On the Hilbert scheme of varieties defined by maximal minors
• Deformations of the normalization of hypersurfaces
• Formal moduli of algebraic structures
• Resolutions of determinantal ideals: The submaximal minors
• Versal determinantal deformations
• Schur functors and Schur complexes
• Generic free resolutions and a family of generically perfect ideals
• Syzygies des variétés déterminantales
• Determinantal schemes and Buchsbaum-Rim sheaves
• The classification of homogeneous Cohen-Macaulay rings of finite representation type
• Resultants of determinantal varieties
• Ideals generated by submaximal minors
• Unobstructedness and dimension of families of Gorenstein algebras
• Families of Artinian and low dimensional determinantal rings
• Murphy's law in algebraic geometry: Badly-behaved deformation spaces
• Determinantal ideals
• Gorenstein liaison, complete intersection liaison invariants and unobstructedness
• Families of determinantal schemes
• Ideals defined by matrices and a certain complex associated with them
• Maximal families of Gorenstein algebras
• The Eisenbud-Evans Generalized Principal Ideal Theorem and Determinantal Ideals
• Sur le schéma de Hilbert des variétés de codimension $2$ dans $\mathbf{P}^e$ à cône de Cohen-Macaulay
• Dimension of families of determinantal schemes
• Determinantal Equations for Curves of High Degree
• Functors of Artin Rings
• Algebraic Families on an Algebraic Surface
• Cohen-Macaulay Rings, Invariant Theory, and the Generic Perfection of Determinantal Loci
• The first syzygies of determinantal ideals
• Determinantal hypersurfaces.

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