The ideal resolution for generic 3-fat points in P2

Autor:	Monica Idà, Alessandro Gimigliano
Rok vydání:	2004
Předmět:	Discrete mathematics Hilbert series and Hilbert polynomial symbols.namesake Algebra and Number Theory Mathematics::Commutative Algebra Betti number symbols Ideal (ring theory) Rank (differential topology) Mathematics Resolution (algebra)
Zdroj:	Journal of Pure and Applied Algebra. 187:99-128
ISSN:	0022-4049
DOI:	10.1016/j.jpaa.2003.07.002
Popis:	In this paper we prove that the union Y of the second in3nitesimal neighbourhoods of n generic points in P 2 is minimally generated for n � ; 3; 5, i.e., the mapsk :H 0 (IY (k))⊗H 0 (OP2 (1)) → H 0 (IY (k + 1)) are of maximal rank. This, together with the maximality of the Hilbert function, gives the graded Betti numbers for the ideal. c
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b7ec0d31947c97496a437a4605efa644 https://doi.org/10.1016/j.jpaa.2003.07.002 Zobrazit plný text záznamu Full Text from ScienceDirect