A Rigid Local System with Monodromy Group 2.J_2

Published 15 Sep 2018 in math.NT | (1809.05755v1)

Abstract: We exhibit a rigid local system of rank six on the affine line in characteristic $p=5$ whose arithmetic and geometric monodromy groups are the finite group $2.J_2$ ($J_2$ the Hall-Janko sporadic group) in one of its two (Galois-conjugate) irreducible representation of degree six.

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