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arXiv · 1707.09001

Binary hermitian forms and optimal embeddings

Gordan Savin·Michael Zhao
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Abstract

Fix a quadratic order over the ring of integers. An embedding of the quadratic order into a quaternionic order naturally gives an integral binary hermitian form over the quadratic order. We show that, in certain cases, this correspondence is a discriminant preserving bijection between the isomorphism classes of embeddings and integral binary hermitian forms.

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Gordan Savin, Michael Zhao. 2017-07-27. Binary hermitian forms and optimal embeddings. https://arxiv.org/abs/1707.09001

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