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Moscow Mathematical Journal, 2011, Volume 11, Number 2, Pages 185–204
DOI: https://doi.org/10.17323/1609-4514-2011-11-2-185-204 (Mi mmj417) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Reconstruction of higher-dimensional function fields

Fedor Bogomolovab, Yuri Tschinkelb

a Steklov Mathematical Institute, Moscow, Russia
b Courant Institute of Mathematical Sciences, N.Y.U., New York, NY, U.S.A.
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DOI: https://doi.org/10.17323/1609-4514-2011-11-2-185-204
Abstract: We determine the function fields of varieties of dimension $\ge2$ defined over the algebraic closure of $\mathbb F_p$, modulo purely inseparable extensions, from the quotient by the second term in the lower central series of their pro-$\ell$ Galois groups.
Key words and phrases: Galois groups, function fields.
Received: July 28, 2010; in revised form November 11, 2010
Bibliographic databases:
Document Type: Article
MSC: 12F10, 14E08, 19C20, 19C30
Language: English
Citation: Fedor Bogomolov, Yuri Tschinkel, “Reconstruction of higher-dimensional function fields”, Mosc. Math. J., 11:2 (2011), 185–204
Citation in format AMSBIB
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\by Fedor~Bogomolov, Yuri~Tschinkel
\paper Reconstruction of higher-dimensional function fields
\jour Mosc. Math.~J.
\yr 2011
\vol 11
\issue 2
\pages 185--204
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\crossref{https://doi.org/10.17323/1609-4514-2011-11-2-185-204}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2859233}
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    • This publication is cited in the following 10 articles:
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