ACM vector bundles on projective surfaces of nonnegative Kodaira dimension

In this paper, we contribute to the construction of families of arithmetically Cohen-Macaulay (aCM) indecomposable vector bundles on a wide range of polarized surfaces (X,OX(1)) for OX(1) an ample line bundle. In many cases, we show that for every positive integer r there exists a family of indecomposable aCM vector bundles of rank r, depending roughly on r parameters, and in particular they are of wild representation type. We also introduce a general setting to study the complexity of a polarized variety (X,OX(1)) with respect to its category of aCM vector bundles. In many cases we construct indecomposable vector bundles on X which are aCM for all ample line bundles on X.

ACM vector bundles on projective surfaces of nonnegative Kodaira dimension / Ballico, E.; Huh, S.; Pons Llopis, Juan Francisco. - In: INTERNATIONAL JOURNAL OF MATHEMATICS. - ISSN 0129-167X. - STAMPA. - (2021). [10.1142/S0129167X21501093]

SFX
Titolo: ACM vector bundles on projective surfaces of nonnegative Kodaira dimension
Autori: 
PONS LLOPIS, JUAN FRANCISCO
mostra contributor esterni 
Data di pubblicazione: 2021
Rivista: 
INTERNATIONAL JOURNAL OF MATHEMATICS  
Digital Object Identifier (DOI): http://dx.doi.org/10.1142/S0129167X21501093
Appare nelle tipologie:1.1 Articolo in rivista

File in questo prodotto:
FileDescrizioneTipologiaLicenza 
2nd Proof corrections_done_2150109.pdf 2a Post-print versione editoriale / Version of RecordNon Pubblico - Accesso privato/ristrettoAdministrator   Richiedi una copia
Kod0_210527_v4.pdf 2. Post-print / Author's Accepted ManuscriptPUBBLICO - Tutti i diritti riservatiEmbargo: 30/10/2022   Richiedi una copia
Utilizza questo identificativo per citare o creare un link a questo documento:
http://hdl.handle.net/11583/2949409
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
 
 
 
Powered by IRIS-about IRIS-Utilizzo dei cookie
Logo CINECA  Copyright © 2022