Albanese maps and fundamental groups of varieties with many rational points over function fields
Algebraic Geometry
2021-08-23 v2 Number Theory
Abstract
We investigate properties of the Albanese map and the fundamental group of a complex projective variety with many rational points over some function field, and prove that every linear quotient of the fundamental group of such a variety is virtually abelian, as well as that its Albanese map is surjective, has connected fibres, and has no multiple fibres in codimension one.
Keywords
Cite
@article{arxiv.2010.02913,
title = {Albanese maps and fundamental groups of varieties with many rational points over function fields},
author = {Ariyan Javanpeykar and Erwan Rousseau},
journal= {arXiv preprint arXiv:2010.02913},
year = {2021}
}
Comments
24 pages. Final version