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arXiv · 2106.14637

Computing Characteristic Polynomials of p-Curvatures in Average Polynomial Time

Raphaël Pagès
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Abstract

We design a fast algorithm that computes, for a given linear differential operator with coefficients in $Z[x ]$, all the characteristic polynomials of its p-curvatures, for all primes $p < N$ , in asymptotically quasi-linear bit complexity in N. We discuss implementations and applications of our algorithm. We shall see in particular that the good performances of our algorithm are quickly visible.

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Raphaël Pagès. 2021-06-28. Computing Characteristic Polynomials of p-Curvatures in Average Polynomial Time. https://arxiv.org/abs/2106.14637

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