THE GROUP OF ALGEBRAIC DIFFEOMORPHISMS OF A REAL RATIONAL SURFACE IS n-TRANSITIVE
نویسنده
چکیده
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 algebraic surfaces are algebraically diffeomorphic if and only if they are homeomorphic as topological surfaces. MSC 2000: 14P25, 14E07
منابع مشابه
THE GROUP OF AUTOMORPHISMS OF A REAL RATIONAL SURFACE IS n-TRANSITIVE
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 h...
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