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math.NTFeb 1, 2008
33
citations (OpenAlex)
authors
  • John Voight
institutions
  • University of Vermont
arXiv abstractPDF
paper

Shimura curves of genus at most two

arXiv:0802.0911 · doi:10.1090/S0025-5718-08-02163-7

Abstract

In this article, we enumerate all Shimura curves X^D_0(N) of genus at most two.

18 pages; typo in table fixed, and errata included

References in corpus (1)

  • Shimura curves of genus at most two

Cited by in corpus (12)

  • Belyi functions for hyperbolic hypergeometric-to-Heun transformations
  • Shimura curves of genus at most two
  • Equations of hyperelliptic Shimura curves
  • On Christol's conjecture
  • Heun functions and diagonals of rational functions (unabridged version)
  • Nonsolvable number fields ramified only at 3 and 5
  • On the Frey-Mazur conjecture over low genus curves
  • Small isospectral and nonisometric orbifolds of dimension 2 and 3
  • CM points on Shimura curves via QM-equivariant isogeny volcanoes
  • Arithmetic Restrictions on Geometric Monodromy
  • Diagonals of rational functions: from differential algebra to effective algebraic geometry (unabridged version)
  • Algorithmic enumeration of ideal classes for quaternion orders
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