Rigid local systems with monodromy group the Conway group Co2-Reference-Cited by-同舟云学术

Rigid local systems with monodromy group the Conway group Co2

Published:2019-09-10 Issue:02 Volume:16 Page:341-360
ISSN:1793-0421
Container-title:International Journal of Number Theory
language:en
Short-container-title:Int. J. Number Theory

Author:

Katz Nicholas M.¹,Rojas-León Antonio²,Tiep Pham Huu³

Affiliation:

1. Department of Mathematics, Princeton University, Princeton, NJ 08544, USA

2. Departamento de Álgebra, Universidad de Sevilla, c/Tarfia s/n, 41012 Sevilla, Spain

3. Department of Mathematics, Rutgers University, Piscataway, NJ 08854, USA

Abstract

We first develop some basic facts about hypergeometric sheaves on the multiplicative group [Formula: see text] in characteristic [Formula: see text]. Certain of their Kummer pullbacks extend to irreducible local systems on the affine line in characteristic [Formula: see text]. One of these, of rank [Formula: see text] in characteristic [Formula: see text], turns out to have the Conway group [Formula: see text], in its irreducible orthogonal representation of degree [Formula: see text], as its arithmetic and geometric monodromy groups.

Funder

Ministerio de Economia y Competitividad

NSF

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793042120500189

Reference9 articles.

1. Rigid local systems and alternating groups

2. Symmetric powers and a problem of Kollár and Larsen

3. Low-Dimensional Representations of Quasi-Simple Groups

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