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Jacobian
varieties of Hurwitz curves with automorphism group
$\mathrm{PSL}(2,q)$
Allison Fischer, Mouchen Liu and Jennifer Paulhus
Vol. 9 (2016), No. 4, 639–655
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Abstract |
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The size of the automorphism group of a compact Riemann surface of genus is bounded by . Curves with automorphism group of size equal to this bound are called Hurwitz curves. In many cases the automorphism group of these curves is the projective special linear group . We present a decomposition of the Jacobian varieties for all curves of this type and prove that no such Jacobian variety is simple. |
Keywords
Jacobian varieties, Hurwitz curves, projective special
linear group, representation theory
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Mathematical Subject Classification 2010
Primary: 14H40, 14H37, 20G05
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Milestones
Received: 5 February 2015
Revised: 8 July 2015
Accepted: 20 July 2015
Published: 6 July 2016
Communicated by Nigel Boston
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Authors |
| Allison Fischer | |
| Department of Mathematics and
Statistics Grinnell College Grinnell, IA 50112 United States |
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| Mouchen Liu | |
| Department of Mathematics and
Statistics Grinnell College Grinnell, IA 50112 United States |
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| Jennifer Paulhus | |
| Department of Mathematics and
Statistics Grinnell College Grinnell, IA 50112 United States |
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