Rigid local systems with monodromy group the Conway group C o 2

Nicholas M. Katz; Antonio Rojas-León; Pham Huu Tiep

doi:10.1142/S1793042120500189

Rigid local systems with monodromy group the Conway group C o 2

Nicholas M. Katz
, Antonio Rojas-León
, Pham Huu Tiep

Mathematics

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

We first develop some basic facts about hypergeometric sheaves on the multiplicative group m in characteristic p > 0. Certain of their Kummer pullbacks extend to irreducible local systems on the affine line in characteristic p > 0. One of these, of rank 23 in characteristic p = 3, turns out to have the Conway group Co2, in its irreducible orthogonal representation of degree 23, as its arithmetic and geometric monodromy groups.

Original language	English (US)
Pages (from-to)	341-360
Number of pages	20
Journal	International Journal of Number Theory
Volume	16
Issue number	2
DOIs	https://doi.org/10.1142/S1793042120500189
State	Published - Mar 1 2020

Keywords

Rigid local systems
monodromy groups
sporadic simple groups

ASJC Scopus subject areas

Algebra and Number Theory

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10.1142/S1793042120500189

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abstract = "We first develop some basic facts about hypergeometric sheaves on the multiplicative group m in characteristic p > 0. Certain of their Kummer pullbacks extend to irreducible local systems on the affine line in characteristic p > 0. One of these, of rank 23 in characteristic p = 3, turns out to have the Conway group Co2, in its irreducible orthogonal representation of degree 23, as its arithmetic and geometric monodromy groups.",

keywords = "Rigid local systems, monodromy groups, sporadic simple groups",

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AU - Rojas-León, Antonio

AU - Tiep, Pham Huu

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Y1 - 2020/3/1

N2 - We first develop some basic facts about hypergeometric sheaves on the multiplicative group m in characteristic p > 0. Certain of their Kummer pullbacks extend to irreducible local systems on the affine line in characteristic p > 0. One of these, of rank 23 in characteristic p = 3, turns out to have the Conway group Co2, in its irreducible orthogonal representation of degree 23, as its arithmetic and geometric monodromy groups.

AB - We first develop some basic facts about hypergeometric sheaves on the multiplicative group m in characteristic p > 0. Certain of their Kummer pullbacks extend to irreducible local systems on the affine line in characteristic p > 0. One of these, of rank 23 in characteristic p = 3, turns out to have the Conway group Co2, in its irreducible orthogonal representation of degree 23, as its arithmetic and geometric monodromy groups.

KW - Rigid local systems

KW - monodromy groups

KW - sporadic simple groups

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UR - https://www.scopus.com/pages/publications/85072199328#tab=citedBy

U2 - 10.1142/S1793042120500189

DO - 10.1142/S1793042120500189

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JO - International Journal of Number Theory

JF - International Journal of Number Theory

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ER -

Rigid local systems with monodromy group the Conway group C o 2

Abstract

Keywords

ASJC Scopus subject areas

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