The algebraic fundamental group of a reductive group scheme over an arbitrary base scheme

2013/03/31 by Mikhail Borovoi, Cristian D. González-Avilés · 1 citation
Mathematics · #math.AG #msc:20G35

paper · pdf

published as Cent. Eur. J. Math. 12(4) (2014), 545-558 · 17 pages. This is an expanded version of Appendix B in arXiv:1112.6020v1[math.NT]. Final version, to appear in Cent. Eur. J. Math

arxiv created 2013/07/20 · arxiv updated 2021/01/05

Abstract

We define the algebraic fundamental group functor of a reductive group scheme over an arbitrary (non-empty) base scheme and prove that this functor is exact.

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• Abelian Galois cohomology of quasi-connected reductive groups