Extends classifications of hyperelliptic Atkin-Lehner quotients from modular curves (D=1) and trivial quotients to general Shimura curves with coprime level.
Arithmetic geometry, number theory, and computation , SERIES =
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2026 2verdicts
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Determines the mod-r reduction of the zeta function of Y in terms of the zeta function of X and the branch locus Z for generically Galois morphisms of prime order r ≠ p over finite fields.
citing papers explorer
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Hyperelliptic Atkin-Lehner quotients of Shimura curves
Extends classifications of hyperelliptic Atkin-Lehner quotients from modular curves (D=1) and trivial quotients to general Shimura curves with coprime level.
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Hasse-Weil Zeta Functions Modulo a Prime
Determines the mod-r reduction of the zeta function of Y in terms of the zeta function of X and the branch locus Z for generically Galois morphisms of prime order r ≠ p over finite fields.