English

Minimal value set binomials and Frobenius nonclassical curves

Number Theory 2025-08-25 v1 Algebraic Geometry

Abstract

In this paper, we characterize all minimal value set binomials over Fq\mathbb{F}_q, that is, binomials whose size of the set of images is the smallest possible. With this information, we also classify all quadrinomial curves with separated variables that are Fq\mathbb{F}_q-Frobenius nonclassical for the morphism of lines.

Cite

@article{arxiv.2508.16541,
  title  = {Minimal value set binomials and Frobenius nonclassical curves},
  author = {Tiago Aprigio and João Paulo Guardieiro},
  journal= {arXiv preprint arXiv:2508.16541},
  year   = {2025}
}
R2 v1 2026-07-01T05:01:59.924Z