Full Degree Two del Pezzo Surfaces over Small Finite Fields

2015/10/15 by Amanda Knecht, Knecht, Amanda, Kristofer G. Reyes +1
Computer Science · Mathematics · #14G15 #14J26 #14Q10 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Coding theory and cryptography #Cryptography and Residue Arithmetic #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1510.04621

openalex publication_date 2015/10/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Hirschfeld classified split del Pezzo surfaces of degree at least three whose points are all contained on the lines in the surface. We continue his work and begin the classification of split degree two del Pezzo surfaces over finite fields whose points are all on the fifty-six exceptional curves of the surfaces.

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