English

A Rigid Local System with Monodromy Group 2.J_2

Number Theory 2018-09-18 v1

Abstract

We exhibit a rigid local system of rank six on the affine line in characteristic p=5p=5 whose arithmetic and geometric monodromy groups are the finite group 2.J22.J_2 (J2J_2 the Hall-Janko sporadic group) in one of its two (Galois-conjugate) irreducible representation of degree six.

Cite

@article{arxiv.1809.05755,
  title  = {A Rigid Local System with Monodromy Group 2.J_2},
  author = {Nicholas M. Katz and Antonio Rojas-León},
  journal= {arXiv preprint arXiv:1809.05755},
  year   = {2018}
}
R2 v1 2026-06-23T04:07:29.316Z