Return to search

Determination of Quadratic Lattices by Local Structure and Sublattices of Codimension One

For definite quadratic lattices over the rings of integers of algebraic number fields, it is shown that lattices are determined up to isometry by their local structure and sublattices of codimension 1. In particular, a theorem of Yoshiyuki Kitaoka for $\mathbb{Z}$-lattices is generalized to definite lattices over algebraic number fields.

Identiferoai:union.ndltd.org:siu.edu/oai:opensiuc.lib.siu.edu:dissertations-2030
Date01 May 2015
CreatorsMeyer, Nicolas David
PublisherOpenSIUC
Source SetsSouthern Illinois University Carbondale
Detected LanguageEnglish
Typetext
Formatapplication/pdf
SourceDissertations

Page generated in 0.0018 seconds