Abstract
AbstractFix a positive integer g and a squarefree integer m. We prove the existence of a genus g curve $$C/{\mathbb {Q}}$$
C
/
Q
such that the mod m representation of its Jacobian is tame. The method is to analyse the period matrices of hyperelliptic Mumford curves, which could be of independent interest. As an application, we study the tame version of the inverse Galois problem for symplectic matrix groups over finite fields.
Funder
Engineering and Physical Sciences Research Council
Publisher
Springer Science and Business Media LLC
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