A curve defined over a finite field is maximal or minimal according to whether the number of rational points attains the upper or the lower bound in Hasse-Weil's theorem, respectively. In the study of maximal curves a ...

A curve defined over a finite field is maximal or minimal according to whether the number of rational points attains the upper or the lower bound in Hasse-Weil's theorem, respectively. In the study of maximal curves a ...

We build a database of genus 2 curves defined over Q which contains all curves with minimal absolute height h ≤ 5, all curves with moduli height h ≤ 20, and all curves with extra automorphisms in standard form y2 = f(x2) ...

We construct S2-sets contained in the integer interval Iq-1:= (1,q-1) with q = pn, p a prime number and n E Z+, by using the p-adic expansion of integers. Such sets come from considering p-cycles of length n. We give ...

In this work we study singular rational curves in projective space, deducing conditions on their parameterizations from the value semigroups of their singularities. Here we focus on rational curves with cusps whose ...