Automorphisms of A1-fibered surfaces

Details Automorphisms of A1-fibered surfaces Automorphisms of A1-fibered surfaces

2009-06-19

arxiv.org/abs/0906.3623v1

Mathematics

Algebraic Geometry

Scientific paper

We develop technics of birational geometry to study automorphisms of affine surfaces admitting many distinct rational fibrations, with a particular focus on the interactions between automorphisms and these fibrations. In particular, we associate to each surface $S$ of this type a graph encoding equivalence classes of rational fibrations from which it is possible to decide for instance if the automorphism group of $S$ is generated by automorphisms preserving these fibrations.

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