3 citations · 3 across the 3 of their papers we have counts for
3 papers
math.NT2012★ 3 cited
Heuristics on pairing-friendly abelian varieties
John Boxall, David Gruenewald
We discuss heuristic asymptotic formulae for the number of pairing-friendly abelian varieties over prime fields, generalizing previous work of one of the authors arXiv:math1107.030…
math.NT2009
Explicit CM-theory for level 2-structures on abelian surfaces
Reinier Broker, David Gruenewald, Kristin Lauter
For a complex abelian variety with endomorphism ring isomorphic to the maximal order in a quartic CM-field , the Igusa invariants generate an abelian…
math.NT2007
Computing Humbert Surfaces
David Gruenewald
We describe an algorithm which computes components of Humbert surfaces in terms of Rosenhain invariants, based on Runge's method