Numerical characters and Macaulay functions.

Mireille Martin-Deschamps

Collectanea Mathematica (2004)

  • Volume: 55, Issue: 3, page 289-314
  • ISSN: 0010-0757


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 by Macaulay which describes all the Hilbert functions of the quotients of a polynomial ring. By iterating the number of variables, we obtain a new form of the growth of these functions.

How to cite


Martin-Deschamps, Mireille. "Caractères numériques et fonctions de Macaulay.." Collectanea Mathematica 55.3 (2004): 289-314. <>.

author = {Martin-Deschamps, Mireille},
journal = {Collectanea Mathematica},
keywords = {Projective space; Codimension:Subschemes},
language = {fre},
number = {3},
pages = {289-314},
title = {Caractères numériques et fonctions de Macaulay.},
url = {},
volume = {55},
year = {2004},

AU - Martin-Deschamps, Mireille
TI - Caractères numériques et fonctions de Macaulay.
JO - Collectanea Mathematica
PY - 2004
VL - 55
IS - 3
SP - 289
EP - 314
LA - fre
KW - Projective space; Codimension:Subschemes
UR -
ER -

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