Pro-` Abelian-by-central Galois Theory of Zariski Prime Divisors
نویسنده
چکیده
In the present paper I show that one can recover much of the inertia structure of Zariski (quasi) divisors of a function field K|k over an algebraically closed base field k from the maximal pro-` abelian-by-central Galois theory of K. The results play a central role in the birational anabelian geometry and related questions.
منابع مشابه
Pro-` Galois Theory of Zariski Prime Divisors
— In this paper we show how to recover a special class of valuations (which generalize in a natural way the Zariski prime divisors) of function fields from the Galois theory of the functions fields in discussion. These valuations play a central role in the birational anabelian geometry and related questions. Résumé (Théorie de Galois pro-` des diviseurs premiers de Zariski) Dans cet article nou...
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In the present paper I show that one can recover much of the inertia structure of (quasi) divisors of a function field K|k over an algebraically closed base field k from the maximal pro-` abelian-by-central Galois theory of K. The results play a central role in the birational anabelian geometry and related questions.
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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 ` abelian-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 ...
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