几何有理实锥丛与非常传递作用
Geometrically rational real conic bundles and very transitive actions
摘要:
本文研究实代数曲面的自同构自同构群的传递性。我们刻画实代数曲面与非常传递的自同构群。我们给应用程序的分类的真正的代数模型的紧凑的表面:这些应用程序产生新的见解的几何真正的轨迹,证明了几个令人惊讶的事实,这个几何。这种几何可以被认为是双正则几何和双有理几何之间的中间点。
英文摘要:
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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