The Kraft-Russell Generic Equivalence Theorem and its application

Abstract

We find some extensions of the Kraft-Russell Generic Equivalence Theorem and using it we obtain a simple proof of a result of Dubouloz and Kishimoto.

arXiv comment10 pages. in the second version we removed unnecessary assumptions in Theorems 4.5 and 4.6. In the third version the assumption of quasi-homogeneity is removed in Theorem 3.3. and in Theorem 4.7 projectivity is replaced by properness