A current research theme is to compare symbolic powers of an ideal I with the regular powers of I. In this paper, we focus on the case that I = I_X is an ideal defining an almost complete intersection (ACI) set of points X in P1XP1. In particular,we describe a minimal free bigraded resolution of a non arithmetically Cohen-Macaulay(also non homogeneous) set Z of fat points whose support is an ACI generalizing Corollary4.6 given in [5] for homogeneous sets of triple points. We call Z a fat ACI. We also show that its symbolic and ordinary powers are equal, i.e., I_Z^{(m)}= I_Z^m for any $mgeq1$.

The minimal free resolution of fat almost complete intersections in ℙ1 x ℙ1 / Favacchio, G.; Guardo, E.. - In: CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES. - ISSN 0008-414X. - STAMPA. - 69:6(2017), pp. 1274-1291. [10.4153/CJM-2016-040-4]

The minimal free resolution of fat almost complete intersections in ℙ1 x ℙ1

Favacchio G.;
2017

Abstract

A current research theme is to compare symbolic powers of an ideal I with the regular powers of I. In this paper, we focus on the case that I = I_X is an ideal defining an almost complete intersection (ACI) set of points X in P1XP1. In particular,we describe a minimal free bigraded resolution of a non arithmetically Cohen-Macaulay(also non homogeneous) set Z of fat points whose support is an ACI generalizing Corollary4.6 given in [5] for homogeneous sets of triple points. We call Z a fat ACI. We also show that its symbolic and ordinary powers are equal, i.e., I_Z^{(m)}= I_Z^m for any $mgeq1$.
File in questo prodotto:
File Dimensione Formato  
FG-postprint editoriale - canadian.pdf

non disponibili

Descrizione: Articolo principale
Tipologia: 2a Post-print versione editoriale / Version of Record
Licenza: Non Pubblico - Accesso privato/ristretto
Dimensione 742.21 kB
Formato Adobe PDF
742.21 kB Adobe PDF   Visualizza/Apri   Richiedi una copia
FG- postprint draft - canadian.pdf

accesso aperto

Descrizione: Articolo principale
Tipologia: 2. Post-print / Author's Accepted Manuscript
Licenza: Creative commons
Dimensione 500.79 kB
Formato Adobe PDF
500.79 kB Adobe PDF Visualizza/Apri
Pubblicazioni consigliate

Caricamento pubblicazioni consigliate

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11583/2859980