THE GROUP OF AUTOMORPHISMS OF A REAL RATIONAL SURFACE IS n-TRANSITIVE
نویسنده
چکیده
Let X be a rational nonsingular compact connected real algebraic surface. Denote by Aut(X) the group of real algebraic automorphisms of X. We show that the group Aut(X) acts n-transitively on X, for all natural integers n. As an application we give a new and simpler proof of the fact that two rational nonsingular compact connected real algebraic surfaces are isomorphic if and only if they are homeomorphic as topological surfaces. MSC 2000: 14P25, 14E07
منابع مشابه
THE GROUP OF ALGEBRAIC DIFFEOMORPHISMS OF A REAL RATIONAL SURFACE IS n-TRANSITIVE
Let X be a rational nonsingular compact connected real algebraic surface. Denote by Diffalg(X) the group of algebraic diffeomorphisms of X into itself. The group Diffalg(X) acts diagonally on X n, for any natural integer n. We show that this action is transitive, for all n. As an application we give a new and simpler proof of the fact that two rational nonsingular compact connected real algebra...
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