Rigid local systems with monodromy group the Conway group Co₃

2018/10/10 by Katz, Nicholas M., Rojas-León, Antonio, Tiep, Pham Huu
#11T24 #20C34 #Algebraic Geometry (math.AG) #FOS: Mathematics #Group Theory (math.GR) #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1810.04587

Abstract

We first develop some basic facts about certain sorts of rigid local systems on the affine line in characteristic p>0. We then apply them to exhibit a number of rigid local systems of rank 23 on the affine line in characteristic p=3 whose arithmetic and geometric monodromy groups are the Conway group Co₃ in its orthogonal irreducible representation of degree 23.

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