The Kraft-Russell Generic Equivalence Theorem and its application

TL;DR

This paper extends the Kraft-Russell Generic Equivalence Theorem and uses these extensions to provide a simplified proof of a result by Dubouloz and Kishimoto, advancing understanding in algebraic geometry.

Contribution

The paper introduces new extensions of the Kraft-Russell Theorem and applies them to simplify existing proofs in the field.

Findings

Extended the Kraft-Russell Theorem.

Provided a simpler proof of Dubouloz and Kishimoto's result.

Enhanced tools for algebraic geometry research.

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.