2 papers
math.NT2025
Rational Points and Zeta Functions of Humbert Surfaces with Square Discriminant
Elira Shaska, Jorge Mello, Sajad Salami +1
This paper examines the arithmetic of the loci \(\cL_n\), parameterizing genus 2 curves with \((n, n)\)-split Jacobians over finite fields \(\F_q\). We compute rational points \(|\…
math.NT2025
On sparsity of integral points in orbits and correspondences with big pullbacks under iterates
Jorge Mello
We prove new unconditional results of sparsity of integral points on orbits under many maps and correspondences in arbitrary dimensions, generalizing theorems of Yasufuku(2015) and…