@article{c021b82cba5d4107bb8f6970f7abdf7f,
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 = "Funding Information: The second author gratefully acknowledges the support of the National Science Foundation (grant DMS-1840702). The paper is partially based upon work supported by the National Science Foundation under grant DMS-1440140 while the second author was in residence at the Mathematical Sciences Research Institute in Berkeley, California, during the Spring 2018 semester. It is a pleasure to thank the Institute for support, hospitality, and stimulating environments.☆ The second author gratefully acknowledges the support of the National Science Foundation (grant DMS-1840702). The paper is partially based upon work supported by the National Science Foundation under grant DMS-1440140 while the second author was in residence at the Mathematical Sciences Research Institute in Berkeley, California, during the Spring 2018 semester. It is a pleasure to thank the Institute for support, hospitality, and stimulating environments. 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.",
}