• JOAO PEDRO P DOS SANTOS

Articles written in Proceedings – Mathematical Sciences

• Abelianization of the $F$-divided fundamental group scheme

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.

• # Proceedings – Mathematical Sciences

Current Issue
Volume 129 | Issue 3
June 2019