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…
The basepoint-freeness threshold and syzygies of abelian varieties
Federico Caucci
We show how a natural constant introduced by Jiang and Pareschi for a polarized abelian variety encodes information about the syzygies of the section ring of the polarization. As a…
Derived invariants arising from the Albanese map
Federico Caucci, Giuseppe Pareschi
Let be the Albanese map of a smooth complex projective variety. Roughly speaking in this note we prove that for all and $α\in \mathrm…