The characterization of Hermitian surfaces by the number of points

preprint2015arXivOpen access

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.

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