A generalization of Voronoi's reduction theory and its application-Reference-Cited by-同舟云学术

A generalization of Voronoi's reduction theory and its application

Published:2008-03-15 Issue:1 Volume:142 Page:
ISSN:0012-7094
Container-title:Duke Mathematical Journal
language:
Short-container-title:Duke Math. J.

Author:

Sikirić Mathieu Dutour¹,Schürmann Achill²,Vallentin Frank³

Affiliation:

1. Department of Marine and Environmental Research, Rudjer Bosković Institute, Zagreb, Croatia

2. Mathematics Department, University of Magdeburg, Magdeburg, Germany

3. Centrum voor Wiskunde en Informatica, Amsterdam, Netherlands

Publisher

Duke University Press

Subject

General Mathematics

Reference54 articles.

1. —, personal communication, Oct. 2003.

2. B. N. Delone, The geometry of positive quadratic forms (in Russian), Uspekhi Mat. Nauk 3 (1937), 16--62.

3. M. DUtour Sikirić, A. Schürmann, and F. Vallentin, Complexity and algorithms for computing Voronoi cells of lattices, in preparation.

4. —, Normalisatoren und Bravaismannigfaltigkeiten endlicher unimodularer Gruppen, Ph.D. dissertation, Technical University of Aachen, Aachen, Germany, 1995.

5. A. Schürmann, Computational geometry of positive definite quadratic forms, Habilitationsschriff, Universität Magdeburg, Magdeburg, Germany, 2007.

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