Homomorphisms of multiplicative groups of fields preserving algebraic dependence

Fedor Bogomolov; Marat Rovinsky; Yuri Tschinkel

Homomorphisms of multiplicative groups of fields preserving algebraic dependence

Algebraic Geometry 2017-09-05 v1

Authors: Fedor Bogomolov , Marat Rovinsky , Yuri Tschinkel

Abstract

We study homomorphisms of multiplicative groups of fields preserving algebraic dependence and show that such homomorphisms give rise to valuations.

Keywords

multiplicative groups fields algebraic dependence homomorphisms valuations

Cite

@article{arxiv.1709.00639,
  title  = {Homomorphisms of multiplicative groups of fields preserving algebraic dependence},
  author = {Fedor Bogomolov and Marat Rovinsky and Yuri Tschinkel},
  journal= {arXiv preprint arXiv:1709.00639},
  year   = {2017}
}