Proof of W.M. Schmidt's conjecture concerning successive minima of a lattice

DOI10.1112/jlms/jdr076zbMath1350.11073arXiv0804.0120OpenAlexW2126188994WikidataQ123007218 ScholiaQ123007218MaRDI QIDQ2909045

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Publication date: 29 August 2012

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0804.0120

zbMATH Keywords

minimalatticeslinear independencebadly approximable number

Mathematics Subject Classification ID

Lattices and convex bodies (number-theoretic aspects) (11H06) Simultaneous homogeneous approximation, linear forms (11J13)

Related Items (8)

On badly approximable vectors ⋮ A variational principle in the parametric geometry of numbers, with applications to metric Diophantine approximation ⋮ Diophantine approximation and parametric geometry of numbers ⋮ Sets of inhomogeneous linear forms can be not isotropically winning ⋮ A variational principle in the parametric geometry of numbers ⋮ Diophantine approximation and special Liouville numbers ⋮ On Schmidt and Summerer parametric geometry of numbers ⋮ On the topology of Diophantine approximation spectra

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