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4 papers
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…
Explicit local multiplicative convolution of l-adic sheaves
Antonio Rojas-León
We give explicit formulas for the local multiplicative convolution functors which express the local monodromies of the convolution of two -adic sheaves on the torus ${\mathbb…
Estimates for exponential sums with a large automorphism group
Antonio Rojas-León
We prove some improvements of the classical Weil bound for one variable additive and multiplicative character sums associated to a polynomial over a finite field $k=\Fq$ for two cl…