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arXiv · 2109.04172

The anisotropic part of a quadratic form over a number field

Przemysław Koprowski·Beata Rothkegel
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Abstract

It is well known that every non-degenerate quadratic form admits a decomposition into an orthogonal sum of its anisotropic part and a hyperbolic form. This decomposition is unique up to isometry. In this paper we present an algorithm for constructing an anisotropic part of a given form with coefficients in an arbitrary number field.

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Przemysław Koprowski, Beata Rothkegel. 2021-09-09. The anisotropic part of a quadratic form over a number field. https://arxiv.org/abs/2109.04172

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