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arXiv · 2207.01951

Products of hyperelliptic Jacobians with maximal Galois image

Jędrzej Garnek
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Abstract

In this note we study the associated adelic representation of a product of hyperelliptic Jacobians. We give a simple criterion that assures that this representation has maximal Galois image in a certain sense. As an application, we provide a method of constructing products of Jacobians with division fields as disjoint as they can be.

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Jędrzej Garnek. 2022-07-05. Products of hyperelliptic Jacobians with maximal Galois image. https://arxiv.org/abs/2207.01951

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