13 citations · 78 across the 26 of their papers we have counts for
6 papers · 1 filter
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…
On automorphism groups of toroidal circle planes
Brendan Creutz, Duy Ho, Günter F. Steinke
Schenkel proved that the automorphism group of a flat Minkowski plane is a Lie group of dimension at most 6 and described planes whose automorphism group has dimension at least 4 o…
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…