Tangent-filling plane curves over finite fields

2023/02/26 by Shamil Asgarli, Dragos Ghioca, Asgarli, Shamil +1
Computer Science · Mathematics · #11G20 #14N05 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Coding theory and cryptography #Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT) #Primary: 14H50 #Secondary: 14G15

paper · pdf · doi:10.48550/arxiv.2302.13420

openalex publication_date 2023/02/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study plane curves over finite fields whose tangent lines at smooth \mathbbF_q-points together cover all the points of ℙ²(\mathbbF_q).

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