Galois coverings of the product of the projective lines by abelian surfaces

Abstract

We consider the quotient space of an abelian surface by a finite subgroup of the automorphism group. We classify the analytic representation of the group and the branch divisor of the natural projection to the quotient space, where the quotient space is isomorphic to the product of the projective lines.

Keywords:

• Abelian surface
• automorphism
• Galois covering

2010 MATHEMATICS SUBJECT CLASSIFICATION:

• Primary 14J28
• Secondary 14J50