15 citations · 21 across the 10 of their papers we have counts for
10 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…
Higher order embeddings via the basepoint-freeness threshold
Federico Caucci
In this note, we relate the basepoint-freeness threshold of a polarized abelian variety, introduced by Jiang and Pareschi, with -jet very ampleness. Then, we derive several appl…
Syzygies of Kummer varieties
Federico Caucci
We study syzygies of Kummer varieties proving that their behavior is half of the abelian varieties case. Namely, an -th power of an ample line bundle on a Kummer variety satisfi…
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…
Derived invariance of the Albanese relative canonical ring
Federico Caucci, Luigi Lombardi, Giuseppe Pareschi
We show the derived invariance of various geometric invariants of smooth complex projective varieties governed by the Albanese map, including the relative canonical ring and the cl…
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…
Stability of syzygy bundles on abelian varieties
Federico Caucci, Martí Lahoz
We prove that the kernel of the evaluation morphism of global sections - namely the syzygy bundle - of a sufficiently ample line bundle on an abelian variety is stable. This settle…
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…