Non-divergence in the space of lattices
Groups, geometry, and dynamics, Tome 17 (2023) no. 3, pp. 993-1003

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DOI

Using Harder–Narasimhan filtrations and Grayson polygons to describe the geometry of the space of lattices, we give a new proof of the Kleinbock–Margulis quantitative non-divergence estimate.
DOI : 10.4171/ggd/720
Classification : 22-XX, 37-XX
Mots-clés : Geometry of numbers, successive minima, Grayson polygons, Remez inequality

Nicolas de Saxcé  1

1 CNRS-Université Sorbonne Paris Nord, Villetaneuse, France
Nicolas de Saxcé. Non-divergence in the space of lattices. Groups, geometry, and dynamics, Tome 17 (2023) no. 3, pp. 993-1003. doi: 10.4171/ggd/720
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     title = {Non-divergence in the space of lattices},
     journal = {Groups, geometry, and dynamics},
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     number = {3},
     doi = {10.4171/ggd/720},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/720/}
}
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