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arXiv · 1304.0302

The characterization of Hermitian surfaces by the number of points

Masaaki Homma·Seon Jeong Kim
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Abstract

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

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Masaaki Homma, Seon Jeong Kim. 2013-04-01. The characterization of Hermitian surfaces by the number of points. https://arxiv.org/abs/1304.0302

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