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

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Central European Journal of Mathematics

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↦ π1(G) is exact.

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Authors and Affiliations

  1. Raymond and Beverly Sackler School of Mathematical Sciences, Tel Aviv University, Ramat Aviv, 69978, Tel Aviv, Israel

    Mikhail Borovoi

  2. Departamento de Matemáticas, Universidad de La Serena, Cisternas 1200, La Serena, 1700000, Chile

    Cristian D. González-Avilés

Authors
  1. Mikhail Borovoi
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  2. Cristian D. González-Avilés
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Correspondence to Mikhail Borovoi.

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Borovoi, M., González-Avilés, C.D. The algebraic fundamental group of a reductive group scheme over an arbitrary base scheme. centr.eur.j.math. 12, 545–558 (2014). https://doi.org/10.2478/s11533-013-0363-0

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  • DOI: https://doi.org/10.2478/s11533-013-0363-0

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