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Abelian-by-Central Galois Theory of Prime Divisors

  • Florian Pop
Conference paper
Part of the Contributions in Mathematical and Computational Sciences book series (CMCS, volume 2)

Abstract

In this manuscript I show how to recover some of the inertia structure of (quasi) divisors of a function field K | k over an algebraically closed base field k from its maximal mod ℓabelian-by-central Galois theory of K, provided td(K | k) > 1. This is a first technical step in trying to extend Bogomolov’s birational anabelian program beyond the full pro- situation, which corresponds to the limit case mod .

Keywords

Maximal Subgroup Galois Group Prime Divisor Canonical Projection Closed Subgroup 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of PennsylvaniaPhiladelphiaUSA

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