English

The pro-$p$ Hom-form of the birational anabelian conjecture

Algebraic Geometry 2010-12-07 v2

Abstract

We prove a pro-pp Hom-form of the birational anabelian conjecture for function fields over sub-pp-adic fields. Our starting point is the Theorem of Mochizuki in the case of transcendence degree 1.

Keywords

Cite

@article{arxiv.math/0610268,
  title  = {The pro-$p$ Hom-form of the birational anabelian conjecture},
  author = {Scott Corry and Florian Pop},
  journal= {arXiv preprint arXiv:math/0610268},
  year   = {2010}
}

Comments

9 pages; substantially revised version with a new introduction, more details, and added references