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arXiv · 1510.01995

Local-to-global computation of integral bases without a previous factorization of the discriminant

Jordi Guàrdia·Enric Nart
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Abstract

We adapt an old local-to-global technique of Ore to compute, under certain mild assumptions, an integral basis of a number field without a previous factorization of the discriminant of the defining polynomial. In a first phase, the method yields as a by-product successive splittings of the discriminant. When this phase concludes, it requires a squarefree factorization of some base factors of the discriminant to terminate.

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Jordi Guàrdia, Enric Nart. 2015-10-07. Local-to-global computation of integral bases without a previous factorization of the discriminant. https://arxiv.org/abs/1510.01995

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