7 citations · 12 across the 7 of their papers we have counts for
10 papers
Local systems and Suzuki groups
L. Alpoge, N. M. Katz, G. Navarro +2
We study geometric monodromy groups $G_{\geo,\sF_q}$ of the local systems $\sF_q$ on the affine line over $\F_2$ of rank , , constructed in \cite{Ka-ER…
Exponential sums and total Weil representations of finite symplectic and unitary groups
Nicholas M. Katz, Pham Huu Tiep
We construct explicit local systems on the affine line in characteristic , whose geometric monodromy groups are the finite symplectic groups for all , an…
Monodromy groups of certain Kloosterman and hypergeometric sheaves
Nicholas M. Katz, Pham Huu Tiep
A certain "condition (S)" on reductive algebraic groups was introduced in [GT2], in which a slightly stronger condition (S+) was shown to have very strong consequences. We show tha…
Rigid local systems and finite general linear groups
Nicholas M. Katz, Pham Huu Tiep
We use hypergeometric sheaves on , which are particular sorts of rigid local systems, to construct explicit local systems whose arithmetic and geometric monodromy groups a…
A rigid local system with monodromy group the big Conway group 2.Co_1 and two others with monodromy group the Suzuki group 6.Suz
Nicholas M. Katz, Antonio Rojas-León, Pham Huu Tiep
In the first three sections, we develop some basic facts about hypergeometric sheaves on the multiplicative group in characteristic . In the fourth and fifth…
Rigid local systems with monodromy group the Conway group Co_2
Nicholas M. Katz, Antonio Rojas-León, Pham Huu Tiep
We first develop some basic facts about hypergeometric sheaves on the multiplicative group in characteristic . Certain of their Kummer pullbacks extend to irr…