Théorie de Voronoï géométrique. Propriétés de finitude pour les familles de réseaux et analogues

DOI10.24033/bsmf.2485zbMath1085.11033OpenAlexW4299563001MaRDI QIDQ5697150

Christophe Bavard

Publication date: 17 October 2005

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.24033/bsmf.2485

zbMATH Keywords

Riemann surfacelength functionsystoleperfect latticeeutaxyEuclidean latticeHumbert formconfiguration of minimal vectorsconvexoïdalgeometric Voronoï theoryinvariant of Bergé-Martinetinvariant of Hermite-Humbert

Mathematics Subject Classification ID

Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Lattices and convex bodies (number-theoretic aspects) (11H06) Quadratic forms over global rings and fields (11E12) Global differential geometry (53C99) Connections (general theory) (53C05) Quadratic forms (reduction theory, extreme forms, etc.) (11H55) Minima of forms (11H50) Riemann surfaces (30F99) Abelian varieties and schemes (14K99)

Related Items (6)

Local maxima of the systole function ⋮ Non-convexity of extremal length ⋮ The Bers's constant in genus two ⋮ Application of an idea of Voronoĭ to lattice packing ⋮ Application of an idea of Voronoĭ to lattice zeta functions ⋮ Anne-Marie Bergé -- in memoriam (1939--2008)

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