[PDF][PDF] Rigid local systems and sporadic simple groups
N Katz, A Rojas-León, PH Tiep - Mem. Amer. Math. Soc.(to …, 2021 - math.princeton.edu
N Katz, A Rojas-León, PH Tiep
Mem. Amer. Math. Soc.(to appear), 2021•math.princeton.eduWe continue the program set up in [KT5] to study the monodromy groups of hypergeometric
and Kloosterman sheaves. We gave there easy to apply criteria on these sheaves that their
monodromy groups satisfy the group-theoretic condition (S+), and showed that many of the
finite almost quasisimple groups occur as monodromy groups of such sheaves. Here, we
show that precisely 12 of the 26 sporadic simple groups occur in this way (and explain why
the others cannot occur this way). We also treat some small rank finite groups of Lie type, as …
and Kloosterman sheaves. We gave there easy to apply criteria on these sheaves that their
monodromy groups satisfy the group-theoretic condition (S+), and showed that many of the
finite almost quasisimple groups occur as monodromy groups of such sheaves. Here, we
show that precisely 12 of the 26 sporadic simple groups occur in this way (and explain why
the others cannot occur this way). We also treat some small rank finite groups of Lie type, as …
Abstract
We continue the program set up in [KT5] to study the monodromy groups of hypergeometric and Kloosterman sheaves. We gave there easy to apply criteria on these sheaves that their monodromy groups satisfy the group-theoretic condition (S+), and showed that many of the finite almost quasisimple groups occur as monodromy groups of such sheaves. Here, we show that precisely 12 of the 26 sporadic simple groups occur in this way (and explain why the others cannot occur this way). We also treat some small rank finite groups of Lie type, as well as certain primitive complex reflection groups.
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