Abstract
For k an algebraic closure of the finite field double-struck F sign p ,ℓ prime distinct from p and X a surface over k, we prove that the field of rational functions k(X) can be recovered from the maximal pro-ℓ-quotient GK of its absolute Galois group - in fact already from the second central descending series quotient of GK .
Original language | English (US) |
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Pages (from-to) | 400-462 |
Number of pages | 63 |
Journal | Geometric and Functional Analysis |
Volume | 18 |
Issue number | 2 |
DOIs | |
State | Published - Jul 2008 |
Keywords
- Function fields
- Galois groups
ASJC Scopus subject areas
- Analysis
- Geometry and Topology