A Minkowski-type theorem for covering minima in the plane

DOI10.1007/BF01266316zbMath0836.52003OpenAlexW2033361140MaRDI QIDQ1900039

Uwe Schnell

Publication date: 28 April 1996

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01266316

zbMATH Keywords

successive minimacovering minimaMahler's conjecturelattice invariants

Mathematics Subject Classification ID

Lattices and convex bodies in (2) dimensions (aspects of discrete geometry) (52C05)

Related Items

On densities of lattice arrangements intersecting every \(i\)-dimensional affine subspace, Inequalities for the lattice width of lattice-free convex sets in the plane, The covering radius and a discrete surface area for non-hollow simplices

Cites Work

• The difference body of a convex body
• Blowing up convex sets in the plane
• Covering minima and lattice-point-free convex bodies
• Successive-minima-type inequalities
• Polar analogues of two theorems by Minkowski
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