On the resolution of points in generic position

DOI10.1080/00927879108824191zbMath0732.14023OpenAlexW1966556547MaRDI QIDQ3358868

Maria Pia Cavaliere, Maria Evelina Rossi, Giuseppe Valla

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1080/00927879108824191

zbMATH Keywords

Hilbert functionminimal resolution conjecturepoints in generic position

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Relevant commutative algebra (14A05)

Related Items

On the Resolution of Certain Graded Algebras, Quadrics through a set of points and their syzygies, The ideal resolution for generic 3-fat points in \(\mathbb P^2\)., A generalization of the strong Castelnuovo lemma, On the Green-Lazarsfeld conjecture and the minimal resolution conjecture for \(n+3\) points in \(\mathbb{P}{}^ n\), Betti numbers of compressed level algebras, The minimal free resolution for the first infinitesimal neighborhoods of \(n\) general points in the plane

Cites Work

• The ideal of forms vanishing at a finite set of points in \({\mathbb{P}}^ n\)
• The Cohen-Macaulay type of points in generic position
• Betti numbers of perfect homogeneous ideals
• Monomial ideals and points in projective space
• On the Cohen-Macaulay type of s-lines in \(A^{n+1}\)
• Unnamed Item