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arXiv · 1802.01210

On two upper bounds for hypersurfaces involving a Thas' invariant

Andrea Luigi Tironi
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Abstract

Let $X^n$ be a hypersurface in $\mathbb{P}^{n+1}$ with $n\geq 1$ defined over a finite field $\mathbb{F}_q$ of $q$ elements. In this note, we classify, up to projective equivalence, hypersurfaces $X^n$ as above which reach two elementary upper bounds for the number of $\mathbb{F}_q$-points on $X^n$ which involve a Thas' invariant.

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Andrea Luigi Tironi. 2018-02-04. On two upper bounds for hypersurfaces involving a Thas' invariant. https://arxiv.org/abs/1802.01210

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