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  • 1. Lombardi, Luigi
    et al.
    Tirabassi, Sofia
    Stockholm University, Faculty of Science, Department of Mathematics.
    Deformations of minimal cohomology classes on abelian varieties2016In: Communications in Contemporary Mathematics, ISSN 0219-1997, Vol. 18, no 4Article in journal (Refereed)
    Abstract [en]

    We show that the infinitesimal deformations of Brill–Noether loci W d attached to asmooth non-hyperelliptic curve C are in one-to-one correspondence with the deforma-tions of C. As an application, we prove that if a Jacobian J deforms together with aminimal 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 ppavscarrying a minimal cohomology class.

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