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arXiv · 1601.04955

Abelianization of the F-divided fundamental group scheme

Indranil Biswas·João Pedro P. dos Santos
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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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Indranil Biswas, João Pedro P. dos Santos. 2016-01-19. Abelianization of the F-divided fundamental group scheme. https://arxiv.org/abs/1601.04955

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