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Geometrically rational real conic bundles and very transitive actions

Published online by Cambridge University Press:  13 September 2010

Jérémy Blanc
Affiliation:
Mathematisches Institut, Universität Basel, Rheinsprung 21, CH-4051 Basel, Schweiz (email: Jeremy.Blanc@unibas.ch)
Frédéric Mangolte
Affiliation:
Laboratoire de Mathématiques, Université de Savoie, 73376 Le Bourget du Lac Cedex, France (email: mangolte@univ-savoie.fr)
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Abstract

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.

Type
Research Article
Copyright
Copyright © Foundation Compositio Mathematica 2010

References

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