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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Acknowledgements
The first author (IB) wishes to thank the Institut de Mathématiques de Jussieu – Paris Rive Gauche for hospitality while this work was carried out.
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Communicating Editor: Nitin Nitsure
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BISWAS, I., DOS SANTOS, J.P.P. Abelianization of the F-divided fundamental group scheme. Proc Math Sci 127, 281–287 (2017). https://doi.org/10.1007/s12044-016-0322-3
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DOI: https://doi.org/10.1007/s12044-016-0322-3