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arXiv · 1803.08437

The \'etale cohomology ring of the ring of integers of a number field

Eric Ahlqvist·Magnus Carlson
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Abstract

We compute the \'etale cohomology ring $H^*(\text{Spec } \mathcal{O}_K,\mathbb{Z}/n\mathbb{Z})$ where $\mathcal{O}_K$ is the ring of integers of a number field $K.$ As an application, we give a non-vanishing formula for an invariant defined by Minhyong Kim.

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Eric Ahlqvist, Magnus Carlson. 2018-03-22. The \'etale cohomology ring of the ring of integers of a number field. https://doi.org/10.1007/s40993-023-00467-5

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