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Stable and well-rounded lattices in diagonal orbits

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Publication:2279941
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DOI10.1007/s11856-019-1912-4zbMath1445.11057OpenAlexW2969214494MaRDI QIDQ2279941

Omri N. Solan

Publication date: 17 December 2019

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-019-1912-4

zbMATH Keywords

orbitstabilizerstable latticeswell rounded lattices


Mathematics Subject Classification ID

Lattices and convex bodies (number-theoretic aspects) (11H06)


Related Items

Well-rounded twists of ideal lattices from imaginary quadratic fields, On topologically big divergent trajectories



Cites Work

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  • On conjectures of Minkowski and Woods for \(n = 9\)
  • Closed orbits for the diagonal group and well-rounded lattices
  • Stable lattices and the diagonal group
  • On conjectures of Minkowski and Woods for \(n=7\)
  • Reduction theory using semistability
  • On a theorem of Dyson
  • On the cohomology groups of moduli spaces of vector bundles on curves
  • Counterexamples to a conjecture of Woods
  • Covering six space with spheres
  • On the product of four non-homogeneous linear forms
  • On conjectures of Minkowski and Woods for n=8
  • On the inhomogeneous minimum of the product of n linear forms
  • An Introduction to the Geometry of Numbers
  • Minkowski’s conjecture, well-rounded lattices and topological dimension
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