Abelianization of the F-divided fundamental group scheme

Indranil Biswas; João Pedro P. dos Santos

Abelianization of the F-divided fundamental group scheme

Algebraic Geometry 2016-01-20 v1

Authors: Indranil Biswas , João Pedro P. dos Santos

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.

Keywords

F-divided fundamental group scheme abelianization Albanese morphism pointed variety algebraically closed field surjective map finite kernel Albanese variety

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@article{arxiv.1601.04955,
  title  = {Abelianization of the F-divided fundamental group scheme},
  author = {Indranil Biswas and João Pedro P. dos Santos},
  journal= {arXiv preprint arXiv:1601.04955},
  year   = {2016}
}

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Abelianization of the F-divided fundamental group scheme

Abstract

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