Liaison and Cohen-Macaulayness conditions

DOI10.1007/s13348-010-0010-zzbMath1221.14054OpenAlexW1963871643MaRDI QIDQ545668

Francesca Cioffi, Roberta Di Gennaro

Publication date: 22 June 2011

Published in: Collectanea Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13348-010-0010-z

zbMATH Keywords

Hilbert functionCastelnuovo-Mumford regularityCohen-MacaulaynessLiaison

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Complete intersections (14M10) Linkage (14M06)

Related Items

Minimal Castelnuovo–Mumford Regularity for a Given Hilbert Polynomial, When the positivity of the \(h\)-vector implies the Cohen-Macaulay property, A combinatorial description of finite O-sequences and ACM genera

Uses Software

• CoCoA

Cites Work

• Regularity bounds by minimal generators and Hilbert function
• Introduction to liaison theory and deficiency modules
• Integral subschemes of codimension two
• The Hilbert function of generic plane sections of curves of \({\mathbb P}^ 3\)
• Bounding cohomological Hilbert functions by hyperplane sections
• The equations of space curves on a quadric
• Curves in the double plane
• Two-codimensional buchsbaum subschemes of pⁿvia their hyperplane sections
• Gorenstein Algebras and the Cayley-Bacharach Theorem
• Genre des courbes de l'espace projectif
• Degrees of generators of ideals defining curves in projective space
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