English

The characterization of Hermitian surfaces by the number of points

Algebraic Geometry 2015-04-02 v3

Abstract

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

Keywords

Cite

@article{arxiv.1304.0302,
  title  = {The characterization of Hermitian surfaces by the number of points},
  author = {Masaaki Homma and Seon Jeong Kim},
  journal= {arXiv preprint arXiv:1304.0302},
  year   = {2015}
}

Comments

A small gap in the previous version has been filled up