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arXiv · 1203.0945

An upper bound for the genus of a curve without points of small degree

Claudio Stirpe
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Abstract

In this paper I prove that for any prime $p$ there is a constant $C_p>0$ such that for any $n>0$ and for any $p$-power $q$ there is a smooth, projective, absolutely irreducible curve over $\mathbb{F}_q$ of genus $g\leq C_p q^n$ without points of degree smaller than $n$.

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Claudio Stirpe. 2012-03-05. An upper bound for the genus of a curve without points of small degree. https://arxiv.org/abs/1203.0945

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