On coverings of simple abelian varieties

Details On coverings of simple abelian varieties On coverings of simple abelian varieties

2006-06-26

arxiv.org/abs/math/0606657v1

Bull. Soc. math. France 134 (2006), 253-260

Mathematics

Algebraic Geometry

8 pages

Scientific paper

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.

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