An introduction to $\Gamma$-number fields

Guillermo Mantilla-Soler

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arXiv · 1908.02318

An introduction to $\Gamma$-number fields

Guillermo Mantilla-Soler

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Abstract

It follows from generalities of quadratic forms that the spinor class of the integral trace of a number field determines the signature and the discriminant of the field. In this paper we define a family of number fields, that contains among others all odd degree Galois tame number fields, for which the converse is true. In other words, for a number field $K$ in such family we prove that the spinor class of the integral trace carries no more information about $K$ than the determinant and the signature do.

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Guillermo Mantilla-Soler. 2019-08-06. An introduction to $\Gamma$-number fields. https://arxiv.org/abs/1908.02318

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