Abelianization of the <Emphasis Type="Italic">F</Emphasis>-divided fundamental group scheme |
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| Authors: | INDRANIL BISWAS JOÃO PEDRO P DOS SANTOS |
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| Institution: | 1.School of Mathematics,Tata Institute of Fundamental Research,Mumbai,India;2.Institut de Mathématiques de Jussieu – Paris Rive Gauche,Paris Cedex 5,France |
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| 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. |
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