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arXiv · 1410.7320

Hypersurfaces achieving the Homma-Kim bound

Andrea Luigi Tironi
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Abstract

Let $X$ be a hypersurface in $\mathbb{P}^N$ with $N\geq 3$ defined over a finite field. The main result of this note is the classification, up to projective equivalence, of hypersurfaces $X$ as above without a linear component when the number of their rational points achieves the Homma-Kim bound.

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Andrea Luigi Tironi. 2014-10-27. Hypersurfaces achieving the Homma-Kim bound. https://arxiv.org/abs/1410.7320

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