Base Number Theorem for Abelian Varieties. An Infinitesimal Approach.
On a conjecture of Xiao.
Curves of genus g lying on a g-dimensional Jacobian variety.
On the finiteness theorem for rational maps on a variety of general type.
Hodge-gaussian maps
Brill–Noether loci for divisors on irregular varieties
We take up the study of the Brill-Noether loci , where is a smooth projective variety of dimension , , and is an integer. By studying the infinitesimal structure of these loci and the Petri map (defined in analogy with the case of curves), we obtain lower bounds for , where is a divisor that moves linearly on a smooth projective variety of maximal Albanese dimension. In this way we sharpen the results of [Xi] and we generalize them to dimension . In the -dimensional case we prove an...
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