6 papers
Effective characterization of semi-abelian varieties
Jefferson Baudin, Sofia Tirabassi
We obtain effective characterizations of complex semi-abelian varieties in arbitrary dimension in terms of logarithmic irregularity and the first two logarithmic plurigenera, among…
On the global and local geometry of quasi--split varieties with trivial canonical bundle
Jefferson Baudin
We solve certain questions related to the geometry and singularities of quasi--split varieties with trivial canonical bundle. First, we prove that regular quasi--spl…
Generic vanishing theory in positive characteristic
Jefferson Baudin
We simplify and improve the main fundamental theorems of positive characteristic generic vanishing theory. As a quick corollary of the theory, we prove that a normal variety of…
Effective characterization of ordinary abelian varieties, and beyond
Jefferson Baudin
We prove that the Albanese morphism of any normal proper variety in positive characteristic satisfying and is surjective with connected fiber…
On the Euler characteristic of weakly ordinary varieties of maximal Albanese dimension
Jefferson Baudin
We show that a smooth proper weakly ordinary variety of maximal Albanese dimension satisfies . We also show that if is not of general type, then $Ï(X,…
On the Albanese morphism of varieties with Frobenius stable Kodaira dimension zero
Jefferson Baudin
We show that in positive characteristic, the Albanese morphism of normal proper varieties with is separable, surjective, has connected fibers, and the gener…