English

On infinite dimensional algebraic transformation groups

Algebraic Geometry 2014-05-07 v4

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.

Keywords

Cite

@article{arxiv.1401.0278,
  title  = {On infinite dimensional algebraic transformation groups},
  author = {Vladimir L. Popov},
  journal= {arXiv preprint arXiv:1401.0278},
  year   = {2014}
}

Comments

20 pages. Final version

R2 v1 2026-06-22T02:37:52.786Z