Frobenius nonclassical components of curves with separated variables

2013/11/18 by Herivelto Borges, Borges, Herivelto · 4 citations
Computer Science · Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Polynomial and algebraic computation #math.AG #msc:11C08 #msc:14H45 #msc:14Hxx

paper · pdf · doi:10.48550/arxiv.1311.4438

arxiv created 2013/11/18 · arxiv updated 2013/11/19

Abstract

We establish a relation between minimal value set polynomials defined over \mathbbF_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

• Curves on Frobenius nonclassical loci of hypersurfaces
• Frobenius nonclassicality with respect to linear systems of curves of arbitrary degree
• Minimal value set binomials and Frobenius nonclassical curves
• Minimal Value Set Polynomials

Related

• Frobenius nonclassicality with respect to linear systems of curves of arbitrary degree
• Minimal value set binomials and Frobenius nonclassical curves
• Minimal value set polynomials and a generalization of the Hermitian curve
• Curves on Frobenius nonclassical loci of hypersurfaces
• Frobenius nonclassicality of Fermat curves with respect to cubics