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

We study very transitive groups of automorphisms of real geometrically rational surfaces with applications to the classification of real algebraic models of compact surfaces. We give an insight into the geometry of real parts which is a geometry between biregular and birational geometry's, and show several surprising facts about it.

Domaines: Géométrie algébrique [math.AG]

Jérémy Blanc, Frédéric Mangolte. Geometrically rational real conic bundles and very transitive actions. Compositio Mathematica, 2009, Accepté. ⟨hal-00368891v1⟩