1 citations · 3 across the 7 of their papers we have counts for
8 papers
A Rigid Local System with Monodromy Group 2.J_2
Nicholas M. Katz, Antonio Rojas-León
We exhibit a rigid local system of rank six on the affine line in characteristic whose arithmetic and geometric monodromy groups are the finite group ( the Hall-…
Finite monodromy of some families of exponential sums
Antonio Rojas-Leon
Given a prime and an integer , we give a numerical criterion to decide whether the -adic sheaf associated to the one-parameter exponential sums $t\mapsto \sum_xψ(x^d…
Local convolution of l-adic sheaves on the torus
Antonio Rojas-León
For K and L two l-adic perverse sheaves on the one-dimensional torus over the algebraic closure of a finite field, we show that the local monodromies of their convolution K*L at it…
L-functions of symmetric powers of the generalized Airy family of exponential sums
C. Douglas Haessig, Antonio Rojas-Leon
This paper looks at the L-function of the k-th symmetric power of the ell-adic sheaf over the affine line associated to the generalized Airy family of exponential sums. We compute…
On the number of rational points on curves over finite fields with many automorphisms
Antonio Rojas-Leon
Using Weil descent, we give bounds for the number of rational points on two families of curves over finite fields with a large abelian group of automorphisms: Artin-Schreier curves…
Improvements of The Weil Bound For Artin-Schreier Curves
Antonio Rojas-Leon, Daqing Wan
For Artin-Schreier curve y^q -y = f(x) defined over a finite field F_q of q elements, we show that the Weil bound for the number of the rational points over extension fields of F_q…