On minimal free resolutions of projective varieties of degree = codimension + 2

DOI10.1016/0022-4049(93)90112-7zbMath0803.13007OpenAlexW1983073268MaRDI QIDQ686105

Lê Tuân Hoa

Publication date: 9 November 1993

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

Full work available at URL: https://doi.org/10.1016/0022-4049(93)90112-7

zbMATH Keywords

minimal free resolutionBetti numbersarithmetically Cohen-Macaulayminimal generators of the syzygy modulesvariety of almost minimal degree

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)

Related Items (9)

Smooth varieties of almost minimal degree ⋮ Characterization of projective varieties beyond varieties of minimal degree and del Pezzo varieties ⋮ Deformation and Unobstructedness of Determinantal Schemes ⋮ Projective subvarieties having large Green-Lazarsfeld index ⋮ Projective curves of degree=codimension+2 ⋮ On curves lying on a rational normal surface scroll ⋮ Defining Equations of Rational Curves in Smooth Quadric Surface ⋮ The reduction number and degree bound of projective subschemes ⋮ Analysis on some infinite modules, inner projection, and applications

Cites Work

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• Castelnuovo's regularity of graded rings and modules
• Linear free resolutions and minimal multiplicity
• Classification of projective varieties of \(\Delta\)-genus one
• Residues and zero-cycles on algebraic varieties
• Über die freien Auflösungen extremaler Cohen-Macaulay-Ringe
• Towards a structure theory for projective varieties of degree = codimension + 2
• Lectures on Curves on an Algebraic Surface. (AM-59)

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