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Rational points on abelian varieties over function fields and Prym varieties by Mohajer, Abolfazl is a scholarly article available to read on EtoBox.

What is Rational points on abelian varieties over function fields and Prym varieties about?

In this paper, using a generalization of the notion of Prym variety for covers of quasi-projective varieties, we prove a structure theorem for the Mordell-Weil group of the abelian varieties over function fields that are twists of Abelian varieties by Galois covers of irreducible quasi-projective varieties. In particular, the resutls we obtain contribute in the construction of Jacobians (of covers of the projective line) of high rank.

Author

Mohajer, Abolfazl

Published

2020

Language

EN