Geometrically rational real conic bundles and very transitive actions

Details Geometrically rational real conic bundles and very transitive actions Geometrically rational real conic bundles and very transitive actions

2009-03-18

arxiv.org/abs/0903.3101v4

Compositio Mathematica 147 (2011) pp. 161-187

Mathematics

Algebraic Geometry

Compositio Mathematica (2010) To appear

Scientific paper

In this article we study the transitivity of the group of automorphisms of real algebraic surfaces. We characterize real algebraic surfaces with very transitive automorphism groups. We give applications to the classification of real algebraic models of compact surfaces: these applications yield new insight into the geometry of the real locus, proving several surprising facts on this geometry. This geometry can be thought of as a half-way point between the biregular and birational geometries.

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