36 citations · 82 across the 11 of their papers we have counts for
12 papers · 1 filter
On semiample vector bundles and parallelizable compact complex manifolds
Francesco Esposito, Ernesto C. Mistretta
We provide a characterization of parallelizable compact complex manifolds and their quotients using holomorphic symmetric differentials. In particular we show that compact complex…
On linear stability and syzygy stability for rank 2 linear series
Abel Castorena, Ernesto C. Mistretta, Hugo Torres
In previous works, the authors investigated the relationships between linear stability of a generated linear series on a curve , and slope stabillity of the vector bundle…
Holomorphic symmetric differentials and parallelizable compact complex manifolds
Ernesto C. Mistretta
We provide a characterization of complex tori using holomorphic symmetric differentials. With the same method we show that compact complex manifolds of Kodaira dimension 0 having s…
Holomorphic symmetric differentials and a birational characterization of Abelian Varieties
Ernesto C. Mistretta
A generically generated vector bundle on a smooth projective variety yields a rational map to a Grassmannian, called Kodaira map. We answer a previous question, raised by the asymp…
Iitaka fibrations for vector bundles
Ernesto C. Mistretta, Stefano Urbinati
A vector bundle on a smooth projective variety, if it is generically generated by global sections, yields a rational map to a Grassmannian, called Kodaira map. We investigate the a…
On positivity and base loci of vector bundles
Thomas Bauer, Sándor J Kovács, Alex Küronya +3
The aim of this note is to shed some light on the relationships among some notions of positivity for vector bundles that arose in recent decades. Our purpose is to study several of…