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arXiv · 1412.7217

Counting points on curves using a map to P^1, II

Jan Tuitman
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Abstract

We introduce a new algorithm to compute the zeta function of a curve over a finite field. This method extends previous work of ours to all curves for which a good lift to characteristic zero is known. We develop all the necessary bounds, analyse the complexity of the algorithm and provide a complete implementation.

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Jan Tuitman. 2014-12-23. Counting points on curves using a map to P^1, II. https://arxiv.org/abs/1412.7217

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