The Hurwitz curve over a finite field and its Weierstrass points for the morphism of lines

Nazar Arakelian, Herivelto Borges, Pietro Speziali

For any smooth Hurwitz curve ${\mathcal{H}}_n:X{Y}^n+Y{Z}^n+X^{n}Z=0$ over the finite field ${\mathbb{F}}_p$, an explict description of its Weierstrass points for the morphism of lines…