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math.NT2019
The Brauer-Manin obstruction for constant curves over global function fields
Brendan Creutz, José Felipe Voloch
Let be a finite field and smooth, geometrically irreducible proper curves over and set . We consider Brauer-Manin and abelian des…
math.NT2019
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…