Non-divergence in the space of lattices
Groups, geometry, and dynamics, Tome 17 (2023) no. 3, pp. 993-1003
Voir la notice de l'article provenant de la source EMS Press
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.
Classification :
22-XX, 37-XX
Mots-clés : Geometry of numbers, successive minima, Grayson polygons, Remez inequality
Mots-clés : Geometry of numbers, successive minima, Grayson polygons, Remez inequality
Affiliations des auteurs :
Nicolas de Saxcé  1
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
@article{10_4171_ggd_720,
author = {Nicolas de Saxc\'e},
title = {Non-divergence in the space of lattices},
journal = {Groups, geometry, and dynamics},
pages = {993--1003},
year = {2023},
volume = {17},
number = {3},
doi = {10.4171/ggd/720},
url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/720/}
}
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