Frobenius nonclassical components of curves with separated variables

Abstract

We establish a relation between minimal value set polynomials defined over ${\mathbb{F}}_q$ and certain $q$-Frobenius nonclassical curves. The connection leads to a characterization of the curves of type $g(y)=f(x)$, whose irreducible components are $q$-Frobenius nonclassical. An immediate consequence will be the realization of rich sources of new $q$-Frobenius nonclassical curves.

Cited by in corpus (3)

• Minimal value set polynomials and a generalization of the Hermitian curve
• Points on singular Frobenius nonclassical curves
• Frobenius nonclassicality with respect to linear systems of curves of arbitrary degree