Mathematical Proceedings of the Cambridge Philosophical Society

Research Article

On generalized albanese varieties for surfaces

Hurşit Önsipera1

a1 Department of Electrical Engineering, Middle East Technical University, Ankara, Turkey

Given a variety X over a field k and a dense open subset U of X, the related generalized albanese problem has two parts. First we want to classify rational maps with domain U into commutative algebraic groups, into reasonable categories, and then in each category we want to find an object α which is universal in the sense that any β in this category factors through α.

(Received March 24 1987)

(Revised October 23 1987)