1 citations · 1 across the 4 of their papers we have counts for
6 papers
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…
The local-global principle for divisibility in CM elliptic curves
Brendan Creutz, Sheng Lu
We consider the local-global principle for divisibility in the Mordell-Weil group of a CM elliptic curve defined over a number field. For each prime we give sharp lower bounds…
Tate-Shafarevich groups of constant elliptic curves and isogeny volcanos
Brendan Creutz, Jose Felipe Voloch
We describe the structure of Tate-Shafarevich groups of a constant elliptic curves over function fields by exploiting the volcano structure of isogeny graphs of elliptic curves ove…
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…
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…
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…