Rigid local systems and finite symplectic groups

Nicholas M. Katz; Pham Huu Tiep

doi:10.1016/j.ffa.2019.05.008

Rigid local systems and finite symplectic groups

Nicholas M. Katz, Pham Huu Tiep

Mathematics

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

8 Scopus citations

Abstract

For certain powers q of odd primes p, and certain integers n≥1, we exhibit explicit rigid local systems on the affine line in characteristic p>0 whose geometric and arithmetic monodromy groups are Sp(2n,q).

Original language	English (US)
Pages (from-to)	134-174
Number of pages	41
Journal	Finite Fields and their Applications
Volume	59
DOIs	https://doi.org/10.1016/j.ffa.2019.05.008
State	Published - Sep 2019

All Science Journal Classification (ASJC) codes

Theoretical Computer Science
Algebra and Number Theory
General Engineering
Applied Mathematics

Keywords

Finite symplectic groups
Monodromy groups
Rigid local systems
Weil representation

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10.1016/j.ffa.2019.05.008

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title = "Rigid local systems and finite symplectic groups",

abstract = "For certain powers q of odd primes p, and certain integers n≥1, we exhibit explicit rigid local systems on the affine line in characteristic p>0 whose geometric and arithmetic monodromy groups are Sp(2n,q).",

keywords = "Finite symplectic groups, Monodromy groups, Rigid local systems, Weil representation",

author = "Katz, {Nicholas M.} and Tiep, {Pham Huu}",

note = "Publisher Copyright: {\textcopyright} 2019 Elsevier Inc.",

year = "2019",

month = sep,

doi = "10.1016/j.ffa.2019.05.008",

language = "English (US)",

volume = "59",

pages = "134--174",

journal = "Finite Fields and their Applications",

issn = "1071-5797",

publisher = "Academic Press Inc.",

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TY - JOUR

T1 - Rigid local systems and finite symplectic groups

AU - Katz, Nicholas M.

AU - Tiep, Pham Huu

PY - 2019/9

Y1 - 2019/9

N2 - For certain powers q of odd primes p, and certain integers n≥1, we exhibit explicit rigid local systems on the affine line in characteristic p>0 whose geometric and arithmetic monodromy groups are Sp(2n,q).

AB - For certain powers q of odd primes p, and certain integers n≥1, we exhibit explicit rigid local systems on the affine line in characteristic p>0 whose geometric and arithmetic monodromy groups are Sp(2n,q).

KW - Finite symplectic groups

KW - Monodromy groups

KW - Rigid local systems

KW - Weil representation

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UR - http://www.scopus.com/inward/citedby.url?scp=85067196032&partnerID=8YFLogxK

U2 - 10.1016/j.ffa.2019.05.008

DO - 10.1016/j.ffa.2019.05.008

M3 - Article

AN - SCOPUS:85067196032

SN - 1071-5797

VL - 59

SP - 134

EP - 174

JO - Finite Fields and their Applications

JF - Finite Fields and their Applications

ER -

Rigid local systems and finite symplectic groups

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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