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Geometrically rational real conic bundles and very transitive actions

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.
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https://hal.archives-ouvertes.fr/hal-00368891
Contributor : Frédéric Mangolte <>
Submitted on : Friday, March 5, 2010 - 2:12:18 PM
Last modification on : Monday, March 9, 2020 - 6:06:55 PM
Document(s) archivé(s) le : Friday, September 24, 2010 - 10:58:45 AM

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  • HAL Id : hal-00368891, version 4
  • ARXIV : 0903.3101

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Jérémy Blanc, Frédéric Mangolte. Geometrically rational real conic bundles and very transitive actions. Compositio Mathematica, Foundation Compositio Mathematica, 2011, 147, pp. 161-187. ⟨hal-00368891v4⟩

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