606 research outputs found
On coverings of simple abelian varieties
We show that the vector bundle associated to a smooth projective connected
finite covering of a simple complex abelian variety is ample (under a simple
necessary condition). This result is obtained by showing that this bundle is
M-regular in the sense of Pareschi-Popa, and that any M-regular sheaf is ample.Comment: 8 page
- …