G-biliaison of ladder pfaffian varieties

DOI10.1016/j.jalgebra.2008.12.026zbMath1184.13036arXiv0809.3417OpenAlexW2963782658MaRDI QIDQ1028311

Emanuela De Negri, Elisa Gorla

Publication date: 30 June 2009

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

Full work available at URL: https://arxiv.org/abs/0809.3417

zbMATH Keywords

complete intersectionlicciladderdeterminantal schemearithmetically Gorenstein schemeGorenstein liaisonarithmetically Cohen-Macaulay schemepfaffianglicciG-biliaison

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Linkage, complete intersections and determinantal ideals (13C40) Determinantal varieties (14M12) Linkage (14M06)

Related Items (6)

Initial algebras of Pfaffian rings ⋮ Geometric vertex decomposition and liaison ⋮ Gröbner bases of ideals cogenerated by Pfaffians ⋮ Gorenstein liaison for toric ideals of graphs ⋮ Gröbner bases via linkage ⋮ On jet schemes of Pfaffian ideals

Cites Work

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• The \(G\)-biliaison class of symmetric determinantal schemes
• Mixed ladder determinantal varieties from two-sided ladders
• The algebraic structure and deformation of Pfaffian schemes
• A characteristic free approach to invariant theory
• Deformation of schemes defined by vanishing of Pfaffians
• Introduction to liaison theory and deficiency modules
• Pfaffian ideals of ladders
• Mixed ladder determinantal varieties
• Generalized divisors and biliaison
• Gorenstein liaison, complete intersection liaison invariants and unobstructedness
• A generalized Gaeta’s theorem
• Gorenstein Ladder Determinantal Rings
• Divisor class group and canonical class of rings defined by ideals of pfaffians
• Gorenstein liaison and ACM sheaves

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