English

Milnor K_2 and field homomorphisms

Algebraic Geometry 2009-03-02 v1

Abstract

We prove that the function field of an algebraic variety of dimension greater than 1 over an algebraically closed field of characteristic zero is determined by its first and second Milnor K-groups.

Keywords

Cite

@article{arxiv.0902.4875,
  title  = {Milnor K_2 and field homomorphisms},
  author = {Fedor Bogomolov and Yuri Tschinkel},
  journal= {arXiv preprint arXiv:0902.4875},
  year   = {2009}
}

Comments

23 pages

R2 v1 2026-06-21T12:16:38.195Z