A generalization of Voronoi's reduction theory and its application
| dc.creator | Sikiric, Mathieu Dutour | |
| dc.creator | Schuermann, Achill | |
| dc.creator | Vallentin, Frank | |
| dc.date | 2006-01-04 | |
| dc.date | 2007-06-20 | |
| dc.date.accessioned | 2026-07-07T09:31:22Z | |
| dc.date.available | 2026-07-07T09:31:22Z | |
| dc.description | We consider Voronoi's reduction theory of positive definite quadratic forms which is based on Delone subdivision. We extend it to forms and Delone subdivisions having a prescribed symmetry group. Even more general, the theory is developed for forms which are restricted to a linear subspace in the space of quadratic forms. We apply the new theory to complete the classification of totally real thin algebraic number fields which was recently initiated by Bayer-Fluckiger and Nebe. Moreover, we apply it to construct new best known sphere coverings in dimensions 9,..., 15. | |
| dc.description | 31 pages, 2 figures, 2 tables, (v4) minor changes, to appear in Duke Math. J | |
| dc.identifier | https://arxiv.org/abs/math/0601084 | |
| dc.identifier | http://arxiv.org/abs/math/0601084 | |
| dc.identifier | Duke Math. J. 142 (2008), 127-164 | |
| dc.identifier | doi:10.1215/00127094-2008-003 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/158436 | |
| dc.subject | Metric Geometry | |
| dc.subject | Number Theory | |
| dc.subject | 11H55, 52C17 | |
| dc.title | A generalization of Voronoi's reduction theory and its application | |
| dc.type | text |