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arXiv · 1306.3998

The spinor genus of the integral trace

Guillermo Mantilla-Soler
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Abstract

Let $K$ be a number field of degree at least $3$. In this article we show that the genus of the integral trace form of $K$ contains only one spinor genus. Additionally we show that exactly $43%$ (resp. $29%$, resp. $58%$) of quadratic (resp. real quadratic, resp. imaginary quadratic) fields have the same property.

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Guillermo Mantilla-Soler. 2015-02-18. The spinor genus of the integral trace. https://arxiv.org/abs/1306.3998

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