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Point counting on curves using a gonality preserving lift (2018)

Castryck W, Tuitman J.

Oxford University Press

In: Quarterly Journal of Mathematics

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Publikationsdatum: 2018-03-06

Beschreibung: We study the problem of lifting curves from finite fields to number fields in a genus and gonality preserving way. More precisely, we sketch how this can be done efficiently for curves of gonality at most four, with an in-depth treatment of curves of genus at most five over finite fields of odd characteristic, including an implementation in Magma. We then use such a lift as input to an algorithm due to the second author for computing zeta functions of curves over finite fields using p -adic cohomology.

Print ISSN: 0033-5606

Digitale ISSN: 1464-3847

Thema: Mathematik

Publiziert von Oxford University Press

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