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- W4287865118 abstract "Consider a smooth projective curve $overline{C}$ over a finite field $mathbb{F}_q$, equipped with a simply branched morphism $overline{C} to mathbb{P}^1$ of degree $d leq 5$. Assume char$, mathbb{F}_q > 2$ if $d leq 4$, and char$, mathbb{F}_q > 3$ if $d=5$. In this paper we describe how to efficiently compute a lift of $overline{C}$ to characteristic zero, such that it can be fed as input to Tuitman's algorithm for computing the Hasse-Weil zeta function of $overline{C} / mathbb{F}_q$. Our method relies on the parametrizations of low rank rings due to Delone-Faddeev and Bhargava." @default.
- W4287865118 created "2022-07-26" @default.
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- W4287865118 date "2020-02-23" @default.
- W4287865118 modified "2023-10-16" @default.
- W4287865118 title "Lifting low-gonal curves for use in Tuitman's algorithm" @default.
- W4287865118 doi "https://doi.org/10.48550/arxiv.2002.10000" @default.
- W4287865118 hasPublicationYear "2020" @default.
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