Pregled bibliografske jedinice broj: 483650
Lattice coverings and geometry of numbers
Lattice coverings and geometry of numbers // Discrete and computational geometry, twenty years after, Snowbird Utah USA
Snowbird (UT), Sjedinjene Američke Države, 2006. (predavanje, međunarodna recenzija, pp prezentacija, znanstveni)
CROSBI ID: 483650 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Lattice coverings and geometry of numbers
Autori
Dutour Sikirić, Mathieu ; Shuermann, Achill ; Vallentin, Frank
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, pp prezentacija, znanstveni
Izvornik
Discrete and computational geometry, twenty years after, Snowbird Utah USA
/ - , 2006
Skup
Discrete and computational geometry, twenty years after, Snowbird Utah USA
Mjesto i datum
Snowbird (UT), Sjedinjene Američke Države, 18.06.2006. - 22.06.2006
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
Delaunay polytopes; lattice; covering minimum
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
