Abstract
We generalize Conwayʼs approach to integral binary quadratic forms to study integral binary hermitian forms over quadratic imaginary extensions of Q. We show that every indefinite anisotropic form determines a plane (“ocean”) in Mendozaʼs spine associated to the corresponding Bianchi group in the hyperbolic 3-space. The ocean can be used to compute the group of integral transformations preserving the hermitian form.
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