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.
Original language | English (US) |
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Pages (from-to) | 1-23 |
Number of pages | 23 |
Journal | Journal of Number Theory |
Volume | 206 |
DOIs | |
State | Published - Jan 2020 |
Keywords
- Exponential sums
- Monodromy
- Representation theory
- Sporadic groups
ASJC Scopus subject areas
- Algebra and Number Theory