On the Green-Lazarsfeld conjecture and the minimal resolution conjecture for \(n+3\) points in \(\mathbb{P}{}^ n\)

DOI10.1016/0022-4049(93)90048-XzbMath0787.14006WikidataQ123160080 ScholiaQ123160080MaRDI QIDQ1803854

Maria Evelina Rossi, Maria Pia Cavaliere, Giuseppe Valla

Publication date: 29 June 1993

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

zbMATH Keywords

syzygiesKoszul complexHilbert functionminimal resolution conjectureGreen-Lazarsfeld conjecture

Mathematics Subject Classification ID

Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Syzygies, resolutions, complexes and commutative rings (13D02) Global theory of complex singularities; cohomological properties (32S20)

Related Items (2)

On the minimal free resolution of \(r+3\) points in projective \(r\)-space ⋮ Quadrics through a set of points and their syzygies

Uses Software

• CoCoA

Cites Work

• Betti numbers of perfect homogeneous ideals
• On the Cohen-Macaulay type of s-lines in \(A^{n+1}\)
• Towards a structure theory for projective varieties of degree = codimension + 2
• The minimal resolution conjecture
• Betti numbers of points in projective space
• On the resolution of points in generic position
• On the Resolution of Certain Graded Algebras
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