• Semifinite bundles and the Chevalley–Weil formula

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      https://www.ias.ac.in/article/fulltext/pmsc/128/04/0046

    • Keywords

       

      Fundamental group schemes; vector bundles; Tannaka duality

    • Abstract

       

      In our previous paper (Commun. Algebra, 45(8) (2017) 3422–3448), we studied the category of semifinite bundles on a proper variety defined over a field of characteristic 0. As a result, we obtained the fact that for a smooth projective curve defined over an algebraically closed field of characteristic 0 with genus $g$ > 1, Nori fundamental group acts faithfully on the unipotent fundamental group of its universal covering. However, it was not mentioned about any explicit module structure. In this paper, we prove that the Chevalley–Weil formula gives a description of it.

    • Author Affiliations

       

      SHUSUKE OTABE1

      1. Mathematical Institute, Tohoku University, 6-3 Aramakiaza, Aoba, Sendai, Miyagi 980-8578, Japan
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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