[Croissance du nombre de classes de réseaux hermitiens unimodulaires sur un corps quadratique imaginaire]
Nous donnons une borne inférieure pour le nombre de classes de réseaux ternaires hermitiens unimodulaires sur corps quadratique imaginaire. Cela montre que le nombre de classes de réseaux unimodulaires hermitienne tend vers l'infini avec le discriminant du corps.
We give a lower bound for class numbers of unimodular ternary Hermitian lattices over imaginary quadratic fields. This shows that class numbers of unimodular Hermitian lattices grow infinitely as the field discriminants grow.
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@article{CRMATH_2017__355_2_119_0,
author = {Kim, Byeong Moon and Park, Poo-Sung},
title = {Growth of class numbers of positive definite ternary unimodular {Hermitian} lattices over imaginary number fields},
journal = {Comptes Rendus. Math\'ematique},
pages = {119--122},
publisher = {Elsevier},
volume = {355},
number = {2},
year = {2017},
doi = {10.1016/j.crma.2016.12.008},
language = {en},
url = {http://www.numdam.org/articles/10.1016/j.crma.2016.12.008/}
}
TY - JOUR AU - Kim, Byeong Moon AU - Park, Poo-Sung TI - Growth of class numbers of positive definite ternary unimodular Hermitian lattices over imaginary number fields JO - Comptes Rendus. Mathématique PY - 2017 SP - 119 EP - 122 VL - 355 IS - 2 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2016.12.008/ DO - 10.1016/j.crma.2016.12.008 LA - en ID - CRMATH_2017__355_2_119_0 ER -
%0 Journal Article %A Kim, Byeong Moon %A Park, Poo-Sung %T Growth of class numbers of positive definite ternary unimodular Hermitian lattices over imaginary number fields %J Comptes Rendus. Mathématique %D 2017 %P 119-122 %V 355 %N 2 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2016.12.008/ %R 10.1016/j.crma.2016.12.008 %G en %F CRMATH_2017__355_2_119_0
Kim, Byeong Moon; Park, Poo-Sung. Growth of class numbers of positive definite ternary unimodular Hermitian lattices over imaginary number fields. Comptes Rendus. Mathématique, Tome 355 (2017) no. 2, pp. 119-122. doi : 10.1016/j.crma.2016.12.008. http://www.numdam.org/articles/10.1016/j.crma.2016.12.008/
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