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arXiv · 0906.2629

Newton polygons and p-integral bases

Lhoussain El fadil·Jesus Montes·Enric Nart
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Abstract

Let p be a prime number. In this paper we use an old technique of Ore, based on Newton polygons, to construct in an efficient way p-integral bases of number fields defined by a p-regular equation. To illustrate the potential applications of this construction, we show how this result yields a computation of a p-integral basis of an arbitrary quartic field in terms of a defining equation.

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Lhoussain El fadil, Jesus Montes, Enric Nart. 2009-06-15. Newton polygons and p-integral bases. https://arxiv.org/abs/0906.2629

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