Klein polyhedra and relative minima of lattices

DOI10.1007/s11006-006-0055-1zbMath1119.11036OpenAlexW1989943959MaRDI QIDQ881027

Oleg N. German

Publication date: 21 May 2007

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11006-006-0055-1

zbMATH Keywords

latticemultidimensional continued fractionKlein polyhedron

Mathematics Subject Classification ID

Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07) Lattices and convex bodies (number-theoretic aspects) (11H06) Minima of forms (11H50)

Related Items

Minimal vector systems in three-dimensional lattices and an analogue of Vahlen's theorem for three-dimensional Minkowski continued fractions, Geometry and combinatoric of Minkowski-Voronoi 3-dimensional continued fractions, On the statistical properties of Klein polyhedra in three-dimensional lattices, Interior Klein polyhedra

Cites Work

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• Convex hulls of integral points
• Local minima of lattices and vertices of Klein polyhedra
• Lattice Tetrahedra