We show that the infinitesimal deformations of Brill-Noether loci W-d attached to a smooth non-hyperelliptic curve C are in one-to-one correspondence with the deformations of C. As an application, we prove that if a Jacobian J deforms together with a minimal cohomology class out the Jacobian locus, then J is hyperelliptic. In particular, this provides an evidence toward a conjecture of Debarre on the classification of ppavs carrying a minimal cohomology class.
Deformations of minimal cohomology classes on abelian varieties / L. Lombardi, S. Tirabassi. - In: COMMUNICATIONS IN CONTEMPORARY MATHEMATICS. - ISSN 0219-1997. - 18:4(2016), pp. 1550066.1-1550066.23.
Titolo: | Deformations of minimal cohomology classes on abelian varieties |
Autori: | |
Parole Chiave: | We show that the infinitesimal deformations of Brill-Noether loci W-d attached to a smooth non-hyperelliptic curve C are in one-to-one correspondence with the deformations of C. As an application, we prove that if a Jacobian J deforms together with a minimal cohomology class out the Jacobian locus, then J is hyperelliptic. In particular, this provides an evidence toward a conjecture of Debarre on the classification of ppavs carrying a minimal cohomology clas |
Settore Scientifico Disciplinare: | Settore MAT/03 - Geometria |
Data di pubblicazione: | 2016 |
Rivista: | |
Tipologia: | Article (author) |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1142/S0219199715500662 |
Appare nelle tipologie: | 01 - Articolo su periodico |
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