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

Mikhail Borovoi*, Cristian D. González-Avilés

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

We define the algebraic fundamental group π 1(G) of a reductive group scheme G over an arbitrary non-empty base scheme and show that the resulting functor G{mapping} π1(G) is exact.

Original languageEnglish
Pages (from-to)545-558
Number of pages14
JournalCentral European Journal of Mathematics
Volume12
Issue number4
DOIs
StatePublished - Jan 2014

Keywords

  • Algebraic fundamental group
  • Reductive group scheme

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