Minimal free resolutions of general points lying on cubic surfaces in \(\mathbb P^3\)

DOI10.1016/j.jpaa.2010.10.009zbMath1217.13005OpenAlexW2006103931MaRDI QIDQ531382

Megan Patnott, Juan C. Migliore

Publication date: 29 April 2011

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2010.10.009

zbMATH Keywords

graded Betti numbersminimal resolution conjecturegeneral pointsGorenstein liaison

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Linkage, complete intersections and determinantal ideals (13C40) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Syzygies, resolutions, complexes and commutative rings (13D02) Linkage (14M06) Commutative Artinian rings and modules, finite-dimensional algebras (13E10) Low codimension problems in algebraic geometry (14M07)

Related Items (5)

Applications of Liaison ⋮ The minimal resolution conjecture on a general quartic surface in \(\mathbb{P}^3\) ⋮ Families of Artinian and low dimensional determinantal rings ⋮ GENERIC LINES IN PROJECTIVE SPACE AND THE KOSZUL PROPERTY ⋮ Minimal free resolution for points on surfaces

Uses Software

• CoCoA

Cites Work

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• Introduction to liaison theory and deficiency modules
• The minimal resolution conjecture
• Resolutions of generic points lying on a smooth quadric
• Some examples of Gorenstein liaison in codimension three.
• Exterior algebra methods for the minimal resolution conjecture.
• The minimal free resolution of the homogeneous ideal of \(s\) general points in \(\mathbb{P}^ 4\)
• On the reducibility of the postulation Hilbert scheme
• Gorenstein liaison, complete intersection liaison invariants and unobstructedness
• The Hilbert function of a level algebra
• The Minimal Resolution Conjecture for Points on the Cubic Surface
• Gorenstein Algebras and the Cayley-Bacharach Theorem
• Divisors on and the minimal resolution conjecture for points on canonical curves
• The minimal resolution of the ideal of a general arrangement of a big number of points in \(\mathbb{P}^ n\)

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