Let Z be a finite set of double points in P^1 x P^1 and suppose further that X, the support of Z, is arithmetically Cohen-Macaulay (ACM). We present an algorithm, which depends only upon a combinatorial description of X, for the bigraded Betti numbers of I_Z, the defining ideal of Z. We then relate the total Betti numbers of I_Z to the shifts in the graded resolution, thus answering a special case of a question of Romer. (c) 2007 Elsevier B.V. All rights reserved.
The minimal resolution of double points in P^1xP^1
GUARDO, ELENA MARIA;
2007-01-01
Abstract
Let Z be a finite set of double points in P^1 x P^1 and suppose further that X, the support of Z, is arithmetically Cohen-Macaulay (ACM). We present an algorithm, which depends only upon a combinatorial description of X, for the bigraded Betti numbers of I_Z, the defining ideal of Z. We then relate the total Betti numbers of I_Z to the shifts in the graded resolution, thus answering a special case of a question of Romer. (c) 2007 Elsevier B.V. All rights reserved.File in questo prodotto:
File | Dimensione | Formato | |
---|---|---|---|
The-minimal-resolutions-of-double-points-in-P1-P1-with-ACM-support_2007_Journal-of-Pure-and-Applied-Algebra.pdf
accesso aperto
Tipologia:
Versione Editoriale (PDF)
Licenza:
Non specificato
Dimensione
360.93 kB
Formato
Adobe PDF
|
360.93 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.