Abstract
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.
Citation
Allison Fischer. Mouchen Liu. Jennifer Paulhus. "Jacobian varieties of Hurwitz curves with automorphism group $\mathrm{PSL}(2,q)$." Involve 9 (4) 639 - 655, 2016. https://doi.org/10.2140/involve.2016.9.639
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