Rational splitting fields of simple algebras and unirationality of conic bundles

1992 ◽  
pp. 69-74
Author(s):  
I. I. Voronovich ◽  
V. I. Yanchevskiĭ
Keyword(s):  
Simple Algebras ◽  
Conic Bundles

scholarly journals Geometrically rational real conic bundles and very transitive actions

2010 ◽  
Vol 147 (1) ◽  
pp. 161-187 ◽  
Author(s):  
Jérémy Blanc ◽  
Frédéric Mangolte
Keyword(s):  
Automorphism Groups ◽  
Algebraic Surfaces ◽  
Algebraic Models ◽  
Transitive Automorphism ◽  
Real Locus ◽  
Real Algebraic Surfaces ◽  
Conic Bundles ◽  
Transitive Actions ◽  
Insight Into

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.

Simple algebras in varieties

1982 ◽  
Vol 14 (1) ◽  
pp. 36-43 ◽  
Author(s):  
W. A. Lampe ◽  
W. Taylor
Keyword(s):  
Simple Algebras

Automorphisms of Simple Algebras

1950 ◽  
Vol 69 (2) ◽  
pp. 292 ◽  
Author(s):  
G. Hochschild
Keyword(s):  
Simple Algebras
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