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Caractères numériques et fonctions de Macaulay.

Mireille Martin-Deschamps (2004)

Collectanea Mathematica

The postulation of Aritméticamente Cohen-Macaulay (ACM) subschemes of the projective space PkN is well known in the case of codimension 2. There are many different ways of recording this numerical information: numerical character of Gruson/Peskine, h-vector, postulation character of Martin-Deschamps/Perrin... The first aim of this paper is to show the equivalence of these notions. The second and most important aim, is to study the postulation of codimension 3 ACM subschemes of PN. We use a result...

Characterization of the Hilbert-Samuel polynomials of curve singularities

Juan Elias (1990)

Compositio Mathematica

Classifying Hilbert functions of fat point subschemes in P^2.

Anthony Vito Geramita, Brian Harbourne, Juan Migliore (2009)

Collectanea Mathematica

Cohen-Macaulay Rees algebras and degrees of polynomial relations.

A. Simis, B. Ulrich, W.V. Vasconcelos (1995)

Mathematische Annalen

Computations in weighted polynomial rings.

Dalzotto, Giorgio, Sbarra, Enrico (2006)

Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică

Computing Hilbert-Kunz functions of 1-dimensional graded rings.

Kreuzer, Martin (2007)

Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica

Computing limit linear series with infinitesimal methods

Laurent Evain (2007)

Annales de l’institut Fourier

Alexander and Hirschowitz determined the Hilbert function of a generic union of fat points in a projective space when the number of fat points is much bigger than the greatest multiplicity of the fat points. Their method is based on a lemma which determines the limit of a linear system depending on fat points approaching a divisor.Other Hilbert functions were computed previously by Nagata. In connection with his counter-example to Hilbert’s fourteenth problem, Nagata determined the Hilbert function...