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arXiv · 1810.04587

Rigid local systems with monodromy group the Conway group Co_3

Nicholas M. Katz·Antonio Rojas-León·Pham Huu Tiep
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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 $\mathrm{Co}_3$ in its orthogonal irreducible representation of degree $23$.

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Nicholas M. Katz, Antonio Rojas-León, Pham Huu Tiep. 2018-10-17. Rigid local systems with monodromy group the Conway group Co_3. https://arxiv.org/abs/1810.04587

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