The Brauer-Manin obstruction for sections of the fundamental group

Details The Brauer-Manin obstruction for sections of the fundamental group The Brauer-Manin obstruction for sections of the fundamental group

2009-10-26

arxiv.org/abs/0910.5009v1

Mathematics

Algebraic Geometry

32 pages, with an appendix containing a letter from P. Deligne to D. Thakur

Scientific paper

We establish Grothendieck's section conjecture for an open subset of the
Reichardt-Lind curve, and introduce the notion of a Brauer-Manin obstruction
for sections of the fundamental group extension.

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