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arXiv · 0710.4998

Binary normal regular Hermitian lattices over imaginary quadratic fields

Byeong Moon Kim·Ji Young Kim·Poo-Sung Park
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Abstract

We call a positive definite Hermitian lattice regular if it represents all integers which can be represented locally by the lattice. We investigate binary regular Hermitian lattices over imaginary quadratic fields $\mathbb{Q}(\sqrt{-m})$ and provide a complete list of the (normal) Hermitian lattices.

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Byeong Moon Kim, Ji Young Kim, Poo-Sung Park. 2008-09-04. Binary normal regular Hermitian lattices over imaginary quadratic fields. https://arxiv.org/abs/0710.4998

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