On infinite dimensional algebraic transformation groups

Abstract

We explore orbits, rational invariant functions, and quotients of the natural actions of connected, not necessarily finite dimensional subgroups of the automorphism groups of irreducible algebraic varieties. The applications of the results obtained are given.

20 pages. Final version

References in corpus (2)

• Flexible varieties and automorphism groups
• Dixmier Groups and Borel Subgroups