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1 results

  • Geometrically rational real conic bundles and very transitive actions

  • Part of
  • Jérémy Blanc, Frédéric Mangolte
  • Journal:
    Compositio Mathematica / Volume 147 / Issue 1 / January 2011
    Published online by Cambridge University Press:
    13 September 2010, pp. 161-187
    Print publication:
    January 2011
    • Article
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  • 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.