The classification of surfaces with p_g=q=1 isogenous to a product of curves

Abstract

A projective surface S is said to be isogenous to a product if there exist two smooth curves C, F and a finite group G acting freely on C \times F so that S=(C \times F)/G. In this paper we classify all surfaces with p_g=q=1 which are isogenous to a product.

19 pages. Final version, to appear in Adv. Geom

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