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19942026
most citedThe Brauer-Manin obstruction for subvarieties of abelian varieties over function fields

43 citations · 94 across the 43 of their papers we have counts for

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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…