Numbers of points of hypersurfaces without lines over finite fields

2014/10/13 by Masaaki Homma, Homma, Masaaki
Computer Science · Mathematics · #14G05 #14G15 #14J70 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Analytic Number Theory Research #Coding theory and cryptography #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1410.3174

openalex publication_date 2014/10/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give an upper bound for the number of points of a hypersurface over a finite field that has no lines on, in terms of the dimension, the degree, and the number of the elements of the finite field.

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