English

Equivariant Jacobian Conjecture in dimension two

Algebraic Geometry 2021-10-14 v1

Abstract

Let GG be a finite group acting effectively on the complex affine plane. If the GG-action commutes with an \'etale endomorphism ff of the affine plane and the order of GG is even then the endomorphism ff is an automorphism.

Keywords

Cite

@article{arxiv.2110.06709,
  title  = {Equivariant Jacobian Conjecture in dimension two},
  author = {Masayoshi Miyanishi},
  journal= {arXiv preprint arXiv:2110.06709},
  year   = {2021}
}

Comments

To be published in Transformation Groups

R2 v1 2026-06-24T06:51:32.719Z