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Pro-ℓ abelian-by-central Galois theory of prime divisors

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Abstract

In the present paper it is shown 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-ℓ 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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Authors and Affiliations

  1. Department of Mathematics, University of Pennsylvania DRL, 209 S 33rd Street, Philadelphia, PA, 19104, USA

    Florian Pop

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  1. Florian Pop
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Correspondence to Florian Pop.

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Supported by NSF grant DMS-0401056.

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Pop, F. Pro-ℓ abelian-by-central Galois theory of prime divisors. Isr. J. Math. 180, 43–68 (2010). https://doi.org/10.1007/s11856-010-0093-y

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  • DOI: https://doi.org/10.1007/s11856-010-0093-y

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