Abstract
We first develop some basic facts about hypergeometric sheaves on the multiplicative group m in characteristic p > 0. Certain of their Kummer pullbacks extend to irreducible local systems on the affine line in characteristic p > 0. One of these, of rank 23 in characteristic p = 3, turns out to have the Conway group Co2, in its irreducible orthogonal representation of degree 23, as its arithmetic and geometric monodromy groups.
Original language | English (US) |
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Pages (from-to) | 341-360 |
Number of pages | 20 |
Journal | International Journal of Number Theory |
Volume | 16 |
Issue number | 2 |
DOIs | |
State | Published - Mar 1 2020 |
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory
Keywords
- Rigid local systems
- monodromy groups
- sporadic simple groups