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

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

2006-10-09

arxiv.org/abs/math/0610268v2

J. Reine Angew. Math., 628 (2009), 121-127

Mathematics

Algebraic Geometry

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

Scientific paper

10.1515/CRELLE.2009.020

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

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