Naslov
A generalization of Voronoi's reduction theory and its application

Autori
Schuermann, Achill ; Dutour Sikirić, Mathieu ; Vallentin, Frank

Izvornik
Duke mathematical journal (0012-7094) 142 (2008), 1; 127-164

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Voronoi theory ; secondary cone ; covering

Sažetak
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.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA