43 citations · 94 across the 43 of their papers we have counts for
51 papers
Recovering curves from isogeny classes of Prym varieties
José Felipe Voloch
We propose a conjecture on how to recover an algebraic curve from the isogeny classes of its Prym varieties. Motivated by this conjecture, we analyze constructions of pairs of curv…
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…
Algebraic capsets
Cassie Grace, José Felipe Voloch
Capsets are subsets of with no three points on a line and a capset is complete if it is not a subset of a larger capset. We study some new constructions of capsets…
Subsets of P^4 with no four points on a plane
Geertrui Van de Voorde, José Felipe Voloch
We describe a new construction of a subset of P^4 with no four points on a plane over any finite field of order q in which 3 is not a square. This set has size 2q + 1, is maximal w…
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.…
New unlikely intersections on elliptic surfaces
Douglas Ulmer, José Felipe Voloch
Consider a Jacobian elliptic surface with a section of infinite order. Previous work of the first author and Urzúa over the complex numbers gives a bound on the numbe…