Abelianization of the F-divided fundamental group scheme
Biswas, Indranil · Santos, João Pedro P. dos
Original · EN
Let (X,x₀) be a pointed smooth proper variety defined over an algebraically closed field. The Albanese morphism for (X,x₀) 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.
English translation
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