Author:
Blanc Jérémy,Mangolte Frédéric
Abstract
AbstractIn 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.
Subject
Algebra and Number Theory
Reference22 articles.
1. Sulla connessione delle superfizie razionali reali;Comessatti;Ann. Math.,1914
2. Sous-Groupes Algébriques du Groupe de Cremona
3. Fondamenti per la geometria sopra le suerficie razionali dal punto di vista reale
4. Su una congettura di Nash;Tognoli;Ann. Sc. Norm. Super. Pisa (3),1973
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