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

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 definit...

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Main Author: Meyer, Nicolas David
Format: Others
Published: OpenSIUC 2015
Subjects:
Algebraic Number Theory
Quadratic Forms
Online Access:https://opensiuc.lib.siu.edu/dissertations/1026
https://opensiuc.lib.siu.edu/cgi/viewcontent.cgi?article=2030&context=dissertations
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spelling ndltd-siu.edu-oai-opensiuc.lib.siu.edu-dissertations-20302018-12-20T04:32:54Z Determination of Quadratic Lattices by Local Structure and Sublattices of Codimension One Meyer, Nicolas David 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. 2015-05-01T07:00:00Z text application/pdf https://opensiuc.lib.siu.edu/dissertations/1026 https://opensiuc.lib.siu.edu/cgi/viewcontent.cgi?article=2030&context=dissertations Dissertations OpenSIUC Algebraic Number Theory Quadratic Forms
collection NDLTD
format Others
sources NDLTD
topic Algebraic Number Theory
Quadratic Forms
spellingShingle Algebraic Number Theory
Quadratic Forms
Meyer, Nicolas David
Determination of Quadratic Lattices by Local Structure and Sublattices of Codimension One
description 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.
author Meyer, Nicolas David
author_facet Meyer, Nicolas David
author_sort Meyer, Nicolas David
title Determination of Quadratic Lattices by Local Structure and Sublattices of Codimension One
title_short Determination of Quadratic Lattices by Local Structure and Sublattices of Codimension One
title_full Determination of Quadratic Lattices by Local Structure and Sublattices of Codimension One
title_fullStr Determination of Quadratic Lattices by Local Structure and Sublattices of Codimension One
title_full_unstemmed Determination of Quadratic Lattices by Local Structure and Sublattices of Codimension One
title_sort determination of quadratic lattices by local structure and sublattices of codimension one
publisher OpenSIUC
publishDate 2015
url https://opensiuc.lib.siu.edu/dissertations/1026
https://opensiuc.lib.siu.edu/cgi/viewcontent.cgi?article=2030&context=dissertations
work_keys_str_mv AT meyernicolasdavid determinationofquadraticlatticesbylocalstructureandsublatticesofcodimensionone
_version_ 1718802650437255168

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