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...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2016-01
Main Authors: Biswas, Indranil, João Pedro P dos Santos
Format: Article
Language:English
Subjects:
Homomorphisms
Kernels
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:2331-8422