The characterization of Hermitian surfaces by the number of points

Abstract

The nonsingular Hermitian surface of degree $\sqrt{q}+1$ is characterized by its number of ${\mathbb{F}}_q$-points among the irreducible surfaces over ${\mathbb{F}}_q$ of degree $\sqrt{q}+1$ in the projective 3-space.

arXiv commentA small gap in the previous version has been filled up

References in corpus (1)

• Numbers of points of surfaces in the projective $3$-space over finite fields