13 citations · 78 across the 26 of their papers we have counts for
4 papers · 1 filter
Weak approximation versus the Hasse principle for subvarieties of abelian varieties
Brendan Creutz
For varieties over global fields, weak approximation in the space of adelic points can fail. For a subvariety of an abelian variety one expects this failure is always explained by…
The Brauer-Manin obstruction for nonisotrivial curves over global function fields
Brendan Creutz, José Felipe Voloch
We prove that the set of rational points on a nonisotrivial curves of genus at least 2 over a global function field is equal to the set of adelic points cut out by the Brauer-Manin…
Degrees of points on varieties over Henselian fields
Brendan Creutz, Bianca Viray
Let be a nonempty scheme over the field of fractions of a Henselian local ring . A result of Gabber, Liu and Lorenzini shows that the GCD of the set of degrees of closed p…
Etale descent obstruction and anabelian geometry of curves over finite fields
Brendan Creutz, Jose Felipe Voloch
Let and be smooth, proper and geometrically integral curves over a finite field . Any morphism from to induces a morphism of their étale fundamental groups. The…