Let F q 2 be the finite field with q 2 elements. We provide a simple and effective method,
using reciprocal polynomials, for the construction of algebraic curves over F q 2 with many …

For a given ℓ-adic sheaf F on a commutative algebraic group G over a finite field k and an
integer r≥ 1, we define the r th local norm L-function of F at a point t∈ G (k) and prove its …

Let F_q be the finite field with cardinality q, where q is a prime power. Given a finite field
extension F_q^ n over F_q and a, b in (F_q)^{*}, we investigate in this article the number …

Let F q denote the finite field with q elements. In this work, we use characters to give the
number of rational points on suitable curves of low degree over F q in terms of the number of …

Given a Galois étale map of varieties π: Y→ X and an ℓ‐adic sheaf or complex on Y, we
study two cohomological operations: the tensor direct image and the convolution direct …

Neste trabalho, nós estudamos alguns problemas teóricos na teoria de corpos finitos e que
são de interesse para várias aplicações, bem como em teoria de códigos, criptografia e …

We outline an approach to studying Artin-Schreier curves X_f (associated with equations of
the form y^ qy= f (x)) involving auxiliary varieties of higher dimension. Specifically, for a fixed …