On a characterization of an abelian variety in the classification theory of algebraic varieties
On a conjecture of H. Rauch on theta constants and Riemann surfaces with many automorphisms.
On a conjecture of Xiao.
On a generalization of Tate dualities with application to Iwasawa theory
On a theorem of Coleman.
On a theorem of Tate
We study applications of divisibility properties of recurrence sequences to Tate’s theory of abelian varieties over finite fields.
On a theorem relating to the Multiple Thetafunctions
On abelian subvarieties generated by symmetric correspondences.
On abelian varieties associated with elliptic curves with complex multiplication
On Abelian Varieties with Many Endomorphisms and a Conjecture of Shimura's.
On Algebraic Fibre Spaces of Abelian Varieties.
On analytic models of degenerating abelian varieties
On arithmetic in Mordell-Weil groups
On Birch and Swinnerton-Dyer's conjecture for elliptic curves with complex multiplication. I
On Bloch's Conjecture.
On Brody and entire curves
We discuss an example of an open subset of a torus which admits a dense entire curve, but no dense Brody curve.
On Castelnuovo's equivalence defect.
On Certain Definite Integrals.
On certain reduction problems concerning Abelian surfaces.
On coverings of simple abelian varieties
To any finite covering of degree between smooth complex projective manifolds, one associates a vector bundle of rank on whose total space contains . It is known that is ample when is a projective space ([Lazarsfeld 1980]), a Grassmannian ([Manivel 1997]), or a Lagrangian Grassmannian ([Kim Maniel 1999]). We show an analogous result when is a simple abelian variety and does not factor through any nontrivial isogeny . This result is obtained by showing that is -regular in the...