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arXiv · 2508.16541

Minimal value set binomials and Frobenius nonclassical curves

Tiago Aprigio·João Paulo Guardieiro
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Abstract

In this paper, we characterize all minimal value set binomials over $\mathbb{F}_q$, 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 $\mathbb{F}_q$-Frobenius nonclassical for the morphism of lines.

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Tiago Aprigio, João Paulo Guardieiro. 2025-08-22. Minimal value set binomials and Frobenius nonclassical curves. https://arxiv.org/abs/2508.16541

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