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arXiv:1304.0302 [math.AG]AbstractReferencesReviewsResources

The characterization of Hermitian surfaces by the number of points

Masaaki Homma, Seon Jeong Kim

Published 2013-04-01, updated 2014-11-24Version 2

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.

Comments: Added an appendix: We gave an example of a surface which has the same zeta function as the Hermitian surface's, but is not Hermitian
Categories: math.AG
Subjects: 11G25, 14G15, 14J70, 14N05
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