Involve: A Journal of Mathematics

  • Involve
  • Volume 9, Number 4 (2016), 639-655.

Jacobian varieties of Hurwitz curves with automorphism group $\mathrm{PSL}(2,q)$

Allison Fischer, Mouchen Liu, and Jennifer Paulhus

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The size of the automorphism group of a compact Riemann surface of genus g > 1 is bounded by 84(g 1). 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 PSL(2,q). We present a decomposition of the Jacobian varieties for all curves of this type and prove that no such Jacobian variety is simple.

Article information

Involve, Volume 9, Number 4 (2016), 639-655.

Received: 5 February 2015
Revised: 8 July 2015
Accepted: 20 July 2015
First available in Project Euclid: 22 November 2017

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Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 14H40: Jacobians, Prym varieties [See also 32G20] 14H37: Automorphisms 20G05: Representation theory

Jacobian varieties Hurwitz curves projective special linear group representation theory


Fischer, Allison; Liu, Mouchen; Paulhus, Jennifer. Jacobian varieties of Hurwitz curves with automorphism group $\mathrm{PSL}(2,q)$. Involve 9 (2016), no. 4, 639--655. doi:10.2140/involve.2016.9.639.

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