Caractères numériques

Simple item page
dc.creatorMartin-Deschamps, Mireille
dc.date2004-01-27
dc.date.accessioned2026-07-07T05:04:54Z
dc.date.available2026-07-07T05:04:54Z
dc.descriptionThe postulation of Arithmetically Cohen-Macaulay (ACM) subschemes of the projective space ${\mathbb P}^N_k$ 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 between these notions. The second, and most important aim, is to study the postulation of codimension 3 ACM subschemes of ${\mathbb P}^N$. We use a result of 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.
dc.description25 pages latex
dc.identifierhttps://arxiv.org/abs/math/0401375
dc.identifierhttp://arxiv.org/abs/math/0401375
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69987
dc.subjectAlgebraic Geometry
dc.subjectCommutative Algebra
dc.subject14M05,14Q05,13P99
dc.titleCaractères numériques
dc.typetext

Files

Collections

arXiv