Counting points on curves using a map to P¹, II
classification
🧮 math.NT
math.AG
keywords
algorithmcurvesanalyseboundscharacteristiccompletecomplexitycompute
read the original 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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