2000 character limit reached
Fast computation of hyperelliptic curve isogenies in odd characteristic (2009.12180v1)
Published 25 Sep 2020 in math.AG and math.NT
Abstract: Let p be an odd prime number and g $\ge$ 2 be an integer. We present an algorithm for computing explicit rational representations of isogenies between Jacobians of hyperelliptic curves of genus g over an extension K of the field of p-adic numbers Qp. It relies on an efficient resolution, with a logarithmic loss of p-adic precision, of a first order system of differential equations.