17 citations · 17 across the 2 of their papers we have counts for
4 papers
On the number of rational points of a plane algebraic curve
Massimo Giulietti
The number of rational points of a plane non-singular algebraic curve X defined over a finite field is computed, provided that the generic point of X is not an inflexion and that X…
Quotient curves of the Deligne-Lusztig curve of Suzuki type
Massimo Giulietti, Gábor Korchmáros, Fernando Torres
Inspired by a recent paper of Garcia, Stichtenoth and Xing [2000, Compositio Math. 120, 137--170], we investigate the quotient curves of the Deligne-Lusztig curve associated to the…
On complete arcs arising from plane curves
M. Giulietti, F. Pambianco, F. Torres +1
We show that the set of F_q-rational points of either certain Fermat curves or certain F_q-Frobenius non-classical plane curves is a complete (k,d)-arc in P^2(F_q), where k and d a…
On curves covered by the Hermitian curve
A. Cossidente, G. Korchmaros, F. Torres
For each proper divisor d of (r^2-r+1), r being a power of a prime, maximal curves over a finite field with r^2 elements covered by the Hermitian curve of genus 1/2((r^2-r+1)/d-1)…