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arxiv: 1304.0302 · v3 · pith:4NIODXTYnew · submitted 2013-04-01 · 🧮 math.AG

The characterization of Hermitian surfaces by the number of points

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keywords degreehermitiannumberpointssqrtsurfacescharacterizationcharacterized
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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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