Computing Hasse–Witt matrices of hyperelliptic curves in average polynomial time, II

(with Andrew Sutherland)

arXiv preprint (October 2014).

To appear in “Frobenius distributions: Lang–Trotter and Sato–Tate conjectures”, Contemporary Mathematics 663, AMS.

Abstract

We present an algorithm that computes the Hasse–Witt matrix of a given hyperelliptic curve over Q at all primes of good reduction up to a given bound N. It is simpler and faster than the previous algorithm developed by the authors.


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