Binary normal regular Hermitian lattices over imaginary quadratic fields

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.

26 pages

References in corpus (1)

• The Fifteen Theorem for Universal Hermitian Lattices over Imaginary Quadratic Fields

Cited by in corpus (1)

• Even universal binary Hermitian lattices over imaginary quadratic fields