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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/127/02/0281-0287

    • Keywords

       

      $F$-divided fundamental group scheme; Frobenius; Picard scheme; Albanese

    • Abstract

       

      Let ($X , x_0$) be a pointed smooth proper variety defined over an algebraically closed field. The Albanese morphism for ($X , x_0$) produces a homomorphism from the abelianization of the $F$-divided fundamental group scheme of $X$ to the $F$-divided fundamental group of the Albanese variety of $X$. We prove that this homomorphism is surjective with finite kernel. The kernel is also described.

    • Author Affiliations

       

      INDRANIL BISWAS1 JOAO PEDRO P DOS SANTOS2

      1. School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400 005, India
      2. Institut de Mathematiques de Jussieu – Paris Rive Gauche, 4 Place Jussieu, Case 247, 75252 Paris Cedex 5, France
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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