Reconstruction of higher-dimensional function fields

Details Reconstruction of higher-dimensional function fields Reconstruction of higher-dimensional function fields

2009-12-24

arxiv.org/abs/0912.4923v1

Mathematics

Algebraic Geometry

22 pages

Scientific paper

We prove that function fields of varieties of dimension at least two over an
algebraic closure of a finite field are determined, modulo purely inseparable
extensions, by the quotient by the second term in the lower central series of
their pro-$\ell$ Galois groups.

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