Antonio Rojas-León

collaborators

3 papers

math.AG2026

On the rank of hypergeometric sheaves on higher dimensional tori

Antonio Rojas-LeÃ³n

We prove an explicit formula for the generic rank of hypergeometric perverse sheaves on higher dimensional tori over a finite field, as defined by Gabber and Loeser. This allows to…

math.NT2024

Finite monodromy of some two-parameter families of exponential sums

Francisco GarcÃa-CortÃ©s, Antonio Rojas-LeÃ³n

We determine the set of polynomials $f (x) \in k [x]$ , where $k$ is a finite field, such that the local system on $G_{m}^{2}$ which parametrizes the family of exponential sums $(s…

math.NT2024

Equidistribution and independence of Gauss sums

Antonio Rojas-LeÃ³n

We prove a general independent equidistribution result for Gauss sums associated to $n$ monomials in $r$ variable multiplicative characters over a finite field, which generalizes s…