1 citations · 2 across the 3 of their papers we have counts for
3 papers
math.NT2009
Nondegenerate curves of low genus over small finite fields
Wouter Castryck, John Voight
In a previous paper, we proved that over a finite field of sufficiently large cardinality, all curves of genus at most 3 over k can be modeled by a bivariate Laurent polynomial…
math.NT2008★ 1 cited
The Gauss higher relative class number problem
John Voight
Assuming the 2-adic Iwasawa main conjecture, we find all CM fields with higher relative class number at most 16: there are at least 31 and at most 34 such fields, and exactly one i…
math.NT2008★ 1 cited
Computing fundamental domains for Fuchsian groups
John Voight
We exhibit an algorithm to compute a Dirichlet domain for a cofinite Fuchsian group Gamma. As a consequence, we compute the invariants of Gamma, including an explicit finite presen…