58 citations · 270 across the 49 of their papers we have counts for
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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★ 33 cited
Shimura curves of genus at most two
John Voight
In this article, we enumerate all Shimura curves X^D_0(N) of genus at most two.
math.AG2008
On nondegeneracy of curves
Wouter Castryck, John Voight
A curve is called nondegenerate if it can be modeled by a Laurent polynomial that is nondegenerate with respect to its Newton polytope. We show that up to genus 4, every curve is n…
math.NT2008★ 8 cited
Enumeration of totally real number fields of bounded root discriminant
John Voight
We enumerate all totally real number fields F with root discriminant delta_F <= 14. There are 1229 such fields, each with degree [F:QQ] <= 9.