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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.
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
Citation:
Fedor Bogomolov, Yuri Tschinkel, “Reconstruction of higher-dimensional function fields”, Mosc. Math. J., 11:2 (2011), 185–204
Linking options:
https://www.mathnet.ru/eng/mmj417 https://www.mathnet.ru/eng/mmj/v11/i2/p185
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