Geometrically rational real conic bundles and very transitive actions

Jérémy Blanc (1) , Frédéric Mangolte (2)

1 Section de mathématiques [Genève]
2 LAMA - Laboratoire de Mathématiques

This article deals with the study the transitivity of the group of automorphisms of real algebraic surfaces. For every real algebraic surface, it is decided when is its group of automorphisms very transitive. Applications are given to the classification of real algebraic models of compact surfaces, with an insight into the geometry of real parts which is a geometry between biregular and birational geometry's, showing several surprising facts about it.

Domaines: Géométrie algébrique [math.AG]

Jérémy Blanc, Frédéric Mangolte. Geometrically rational real conic bundles and very transitive actions. 2009. ⟨hal-00368891v3⟩