Twists of Albanese varieties over function fields with large ranks

Abolfazl Mohajer; Sajad Salami

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arXiv · 2105.05305

Twists of Albanese varieties over function fields with large ranks

Abolfazl Mohajer·Sajad Salami

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Abstract

In this paper we construct abelian varieties of large Mordell-Weil rank over function fields. We achieve this by using a generalization of the notion of Prym variety to higher dimensions and a structure theorem for the Mordell-Weil group of abelian varieties over function fields proven in our previous works. We consider abelian and dihedral covers of the projective space and apply the above results to the twists of their Albanese varieties.

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Abolfazl Mohajer, Sajad Salami. 2021-05-11. Twists of Albanese varieties over function fields with large ranks. https://arxiv.org/abs/2105.05305

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