On the existence of a morphism between certain Artin-Schreier curves

Beatriz Barbero Lucas, Stefano Lia, Gary McGuire

It is well known that, given two curves $\mathcal{X}:y^p+cy=x^m$ and $\mathcal{Y}:y^p+cy=x^n$, defined over $\F_p$, if $n$ divides $m$ then there exists a nonconstant morphism $\m…