Hector Pasten

collaborators

3 papers

math.NT2024

Some families of polynomials satisfying uniform boundedness for rational preperiodic points

Hector Pasten

We construct explicit non-isotrivial families of polynomials over $Q$ satisfying uniform boundedness for their rational preperiodic points.

math.NT2024

On the $ab c$ and the $ab c d$ conjectures

Hector Pasten, Rocío Sepúlveda-Manzo

We revisit a subexponential bound for the $ab c$ conjecture due to the first author, and we establish a variation of it using linear forms in logarithms. As an application, we prove…

math.NT2023

Szpiro's conjecture when the denominator of the $j$ -invariant is small

Hector Pasten

We prove Szpiro's conjecture for elliptic curves over the rationals having $j$ -invariant with denominator of logarithmic size with respect to its numerator.

Some families of polynomials satisfying uniform boundedness for rational preperiodic points

On the abc and the abcd conjectures

Szpiro's conjecture when the denominator of the j-invariant is small

On the $ab c$ and the $ab c d$ conjectures

Szpiro's conjecture when the denominator of the $j$ -invariant is small