4 papers
Kobayashi hyperbolicity of complete linear systems on abelian varieties
Federico Caucci
We provide a geometric condition ensuring that a very general element of a complete linear system on an abelian variety is Kobayashi hyperbolic. Some related conjectures are also g…
On Mukai's conjecture for hyperelliptic varieties
Federico Caucci
We prove some general results on syzygies of smooth projective varieties with numerically trivial canonical line bundle. This allows to confirm several cases of Mukai's syzygies co…
Irregular fibrations of derived equivalent varieties
Federico Caucci, Luigi Lombardi
We study the behavior of irregular fibrations of a variety under derived equivalence of its bounded derived category. In particular we prove the derived invariance of the existence…
Paracanonical base locus, Albanese morphism, and semi-orthogonal indecomposability of derived categories
Federico Caucci
Motivated by an indecomposability criterion of Xun Lin for the bounded derived category of coherent sheaves on a smooth projective variety , we study the paracanonical base locu…