The main goal of this short paper is to prove that any non-arithmetically Cohen–Macaulay polarized scheme (X, OX(1)) of dimension dim (X) ≥ 2 , under mild conditions on OX(1) , supports arbitrarily large families of non-isomorphic indecomposable aCM vector bundles with respect to OX(l) , l≥ 3. Namely, they are of wild representation type.

Non-arithmetically Cohen–Macaulay schemes of wild representation type / Pons Llopis, Juan Francisco.. - In: MANUSCRIPTA MATHEMATICA. - ISSN 0025-2611. - STAMPA. - 158:(2019), pp. 149-158. [10.1007/s00229-018-1019-y]

Non-arithmetically Cohen–Macaulay schemes of wild representation type

Pons Llopis, Juan Francisco.
2019

Abstract

The main goal of this short paper is to prove that any non-arithmetically Cohen–Macaulay polarized scheme (X, OX(1)) of dimension dim (X) ≥ 2 , under mild conditions on OX(1) , supports arbitrarily large families of non-isomorphic indecomposable aCM vector bundles with respect to OX(l) , l≥ 3. Namely, they are of wild representation type.
File in questo prodotto:
File Dimensione Formato  
Pons-Llopis2019_Article_Non-arithmeticallyCohenMacaula.pdf

non disponibili

Tipologia: 2a Post-print versione editoriale / Version of Record
Licenza: Non Pubblico - Accesso privato/ristretto
Dimensione 428.69 kB
Formato Adobe PDF
428.69 kB Adobe PDF   Visualizza/Apri   Richiedi una copia
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: https://hdl.handle.net/11583/2831652