13 citations · 78 across the 26 of their papers we have counts for
Showing 2016Show all
3 papers · 1 filter
math.NT2016★ 3 cited
Local-global principles for Weil-Châtelet divisibility in positive characteristic
Brendan Creutz, José Felipe Voloch
We extend existing results characterizing Weil-Châtelet divisibility of locally trivial torsors over number fields to global fields of positive characteristic. Building on work of…
math.NT2016
Generalized Jacobians and explicit descents
Brendan Creutz
We develop a cohomological description of various explicit descents in terms of generalized Jacobians, generalizing the known description for hyperelliptic curves. Specifically, gi…
math.NT2016
Most binary forms come from a pencil of quadrics
Brendan Creutz
A pair of symmetric bilinear forms A and B determine a binary form . We prove that the question of whether a given binary form can be written in this way as a…