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Comptes Rendus Mathématique
Volume 355, n° 2
pages 119-122 (février 2017)
Doi : 10.1016/j.crma.2016.12.008
Received : 20 July 2016 ;  accepted : 20 December 2016
Growth of class numbers of positive definite ternary unimodular Hermitian lattices over imaginary number fields
Croissance du nombre de classes de réseaux hermitiens unimodulaires sur un corps quadratique imaginaire
 

Byeong Moon Kim a , Poo-Sung Park b, 1
a Department of Mathematics, Gangnung-Wonju National University, Gangneung Daehangno 120, Gangneung City, Gangwon Province, 210-702, Republic of Korea 
b Department of Mathematics Education, Kyungnam University, Changwon, 631-701, Republic of Korea 

Abstract

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.

The full text of this article is available in PDF format.
Résumé

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.

The full text of this article is available in PDF format.
1  This research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (NRF-2013R1A1A2010614).


© 2016  Published by Elsevier Masson SAS de la part de Académie des sciences.
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