vix.ing · top · new · best · stats · spec

Completeness of cubic curves in PG(2, q), q <= 81

2015/10/28 by Daniele Bartoli, Bartoli, Daniele, Stefano Marcugini +3
Computer Science · Mathematics · #14H52 #51E20 #94B05 #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry and Number Theory #Coding theory and cryptography #Combinatorics (math.CO) #FOS: Mathematics #math.CO #msc:14H52 #msc:51E20 #msc:94B05

paper · pdf · doi:10.48550/arxiv.1510.08375

arxiv created 2015/10/28 · openalex publication_date 2015/10/28 · arxiv updated 2015/10/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Theoretical results are known about the completeness of a planar algebraic cubic curve as a (n,3)-arc in PG(2,q). They hold for q big enough and sometimes have restriction on the characteristic and on the value of the j-invariant. We determine the completeness of all cubic curves for q <= 81.

Related