13 citations · 78 across the 26 of their papers we have counts for
5 papers · 2 filters
The d-primary Brauer-Manin obstruction for Curves
Brendan Creutz, Bianca Viray, José Felipe Voloch
For a curve over a global field we consider for which integers d the d-primary part of the Brauer group can obstruct the existence of rational points. We give examples showing it i…
No transcendental Brauer-Manin obstructions on abelian varieties
Brendan Creutz
Suppose is a torsor under an abelian variety over a number field. We show that any adelic point of that is orthogonal to the algebraic Brauer group of is orthogonal…
Improved rank bounds from 2-descent on hyperelliptic Jacobians
Brendan Creutz
We describe a qualitative improvement to the algorithms for performing 2-descents to obtain information regarding the Mordell-Weil rank of a hyperelliptic Jacobian. The improvement…
Degree and the Brauer-Manin obstruction
Brendan Creutz, Bianca Viray
Let X be a smooth variety over a number field k embedded as a degree d subvariety of and suppose that X is a counterexample to the Hasse principle explained by the B…
Zero-cycles of degree one on Skorobogatov's bielliptic surface
Brendan Creutz
Skorobogatov constructed a bielliptic surface which is a counterexample to the Hasse principle not explained by the Brauer-Manin obstruction. We show that this surface has a -cy…