Point counting on curves using a gonality preserving lift release_o4wdrawxgzb3xet57larxwk2vy

by Wouter Castryck, Jan Tuitman

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2017  

Abstract

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.
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Date   2017-06-13
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arXiv  1605.02162v3
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