43 citations · 94 across the 43 of their papers we have counts for
40 papers · 1 filter
Rational points on smooth surfaces in over finite fields
Yves Aubry, José Felipe Voloch
We improve a bound due to the second author on number of rational points on smooth surfaces in over finite fields and look at families of surfaces that achieve or ne…
The p-adic distance of special points to subvarieties
José Felipe Voloch
In a paper of Tate and the author, we conjectured a uniform bound for the p-adic distance of torsion points on a semiabelian variety, not lying in a subvariety, to that subvariety.…
Ordinary Isogeny Graphs with Level Structure
Derek Perrin, José Felipe Voloch
We study -isogeny graphs of ordinary elliptic curves defined over with an added level structure. Given an integer coprime to and we look at the…
On the Waring problem with Dickson polynomials modulo a prime
Igor E. Shparlinski, José Felipe Voloch
We improve recent results of D. Gomez and A. Winterhof (2010) and of A. Ostafe and I. E. Shparlinski (2011) on the Waring problem with Dickson polynomials in the case of prime fini…
Doubly isogenous curves of genus two with a rational action of
Jeremy Booher, Everett W. Howe, Andrew V. Sutherland +1
Let and be curves over a finite field , provided with embeddings and into their Jacobian varieties. Let and be the pullbacks (via these emb…
Galois invariants of finite abelian descent and Brauer sets
Brendan Creutz, Jesse Pajwani, Jose Felipe Voloch
For a variety over a global field, one can consider subsets of the set of adelic points of the variety cut out by finite abelian descent or Brauer-Manin obstructions. Given a Galoi…