Journal of the Mathematical Society of Japan

Complete classification of binary normal regular Hermitian lattices

Byeong Moon KIM, Ji Young KIM, and Poo-Sung PARK

Full-text: Open access

Abstract

A positive definite Hermitian lattice is called regular if it represents all integers which can be represented locally by the lattice. We investigate binary regular Hermitian lattices over imaginary quadratic fields Q and provide a complete list of the normal binary regular Hermitian lattices.

Article information

Source
J. Math. Soc. Japan Volume 63, Number 3 (2011), 1001-1025.

Dates
First available in Project Euclid: 1 August 2011

Permanent link to this document
http://projecteuclid.org/euclid.jmsj/1312203809

Digital Object Identifier
doi:10.2969/jmsj/06331001

Zentralblatt MATH identifier
05950730

Mathematical Reviews number (MathSciNet)
MR2836753

Subjects
Primary: 11E39: Bilinear and Hermitian forms
Secondary: 11E20: General ternary and quaternary quadratic forms; forms of more than two variables 11E41: Class numbers of quadratic and Hermitian forms

Keywords
Hermitian lattice regular lattice

Citation

KIM, Byeong Moon; KIM, Ji Young; PARK, Poo-Sung. Complete classification of binary normal regular Hermitian lattices. J. Math. Soc. Japan 63 (2011), no. 3, 1001--1025. doi:10.2969/jmsj/06331001. http://projecteuclid.org/euclid.jmsj/1312203809.


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