Archivio Istituzionale della RicercaLet S be a surface with pg(S) = 0 , q(S) = 1 and endowed with a very ample line bundle OS(h) such that h1(S, OS(h)) = 0. We show that such an S supports families of dimension p of pairwise non-isomorphic, indecomposable, Ulrich bundles for arbitrary large p. Moreover, we show that S supports stable Ulrich bundles of rank 2 if the genus of the general element in | h| is at least 2.
Ulrich bundles on non-special surfaces with pg= 0 and q= 1 / Casnati, Gianfranco. - In: REVISTA MATEMATICA COMPLUTENSE. - ISSN 1139-1138. - 32:(2019), pp. 559-574. [10.1007/s13163-017-0248-z]
Ulrich bundles on non-special surfaces with pg= 0 and q= 1
Casnati Gianfranco
2019
Abstract
Let S be a surface with pg(S) = 0 , q(S) = 1 and endowed with a very ample line bundle OS(h) such that h1(S, OS(h)) = 0. We show that such an S supports families of dimension p of pairwise non-isomorphic, indecomposable, Ulrich bundles for arbitrary large p. Moreover, we show that S supports stable Ulrich bundles of rank 2 if the genus of the general element in | h| is at least 2.
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Utilizza questo identificativo per citare o creare un link a questo documento:
https://hdl.handle.net/11583/2973114