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

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

Keywords

  • Exponential sums
  • Monodromy
  • Representation theory
  • Sporadic groups

Fingerprint Dive into the research topics of 'Rigid local systems with monodromy group the Conway group Co<sub>3</sub>'. Together they form a unique fingerprint.

  • Cite this