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arXiv · 2010.02913

Albanese maps and fundamental groups of varieties with many rational points over function fields

Ariyan Javanpeykar·Erwan Rousseau
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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.

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Ariyan Javanpeykar, Erwan Rousseau. 2020-10-06. Albanese maps and fundamental groups of varieties with many rational points over function fields. https://arxiv.org/abs/2010.02913

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