Rigid local systems with monodromy group the Conway group Co3

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

Research output: Contribution to journalArticle

Abstract

We first develop some basic facts about certain sorts of rigid local systems on the affine line in characteristic p>0. We then apply them to exhibit a number of rigid local systems of rank 23 on the affine line in characteristic p=3 whose arithmetic and geometric monodromy groups are the Conway group Co3 in its orthogonal irreducible representation of degree 23.

Original languageEnglish (US)
Pages (from-to)1-23
Number of pages23
JournalJournal of Number Theory
Volume206
DOIs
StatePublished - Jan 2020
Externally publishedYes

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Sporadic Groups
Monodromy Group
Local System
Exponential Sums
Monodromy
Representation Theory
Line
Irreducible Representation
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Keywords

  • Exponential sums
  • Monodromy
  • Representation theory
  • Sporadic groups

ASJC Scopus subject areas

  • Algebra and Number Theory

Cite this

Rigid local systems with monodromy group the Conway group Co3 . / Katz, Nicholas M.; Rojas-León, Antonio; Tiep, Pham Huu.

In: Journal of Number Theory, Vol. 206, 01.2020, p. 1-23.

Research output: Contribution to journalArticle

Katz, Nicholas M. ; Rojas-León, Antonio ; Tiep, Pham Huu. / Rigid local systems with monodromy group the Conway group Co3 In: Journal of Number Theory. 2020 ; Vol. 206. pp. 1-23.
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