ℤ ∕ ℓ Abelian-by-Central Galois Theory of Prime Divisors
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Auteurs : Florian Pop [États-Unis]Source :
- Contributions in Mathematical and Computational Sciences ; 2012.
Abstract
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-ℓ situation, which corresponds to the limit case modℓ ∞ .
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DOI: 10.1007/978-3-642-23905-2_10
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