Isometries of lattices and Hasse principles

Eva Bayer-Fluckiger

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arXiv · 2001.07094

Isometries of lattices and Hasse principles

Eva Bayer-Fluckiger

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Abstract

We give necessary and sufficient conditions for an integral polynomial without linear factors to be the characteristic polynomial of an isometry of some even, unimodular lattice of given signature. This gives rise to Hasse principle questions, which we answer in a more general setting. As an application, we prove a Hasse principle for signatures of knots.

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Eva Bayer-Fluckiger. 2020-01-20. Isometries of lattices and Hasse principles. https://arxiv.org/abs/2001.07094

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