On coverings of simple abelian varieties

Abstract

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.

8 pages

References in corpus (1)

• Vanishing theorems for ample vector bundles

Cited by in corpus (2)

• GV-sheaves, Fourier-Mukai transform, and Generic Vanishing
• M-regularity and the Fourier-Mukai transform