Restricted Successive Minima
Metric Geometry
2016-01-20 v2 Combinatorics
Abstract
We give bounds on the successive minima of an -symmetric convex body under the restriction that the lattice points realizing the successive minima are not contained in a collection of forbidden sublattices. Our investigations extend former results to forbidden full-dimensional lattices, to all successive minima and complement former results in the lower dimensional case.
Keywords
Cite
@article{arxiv.1302.1407,
title = {Restricted Successive Minima},
author = {Martin Henk and Carsten Thiel},
journal= {arXiv preprint arXiv:1302.1407},
year = {2016}
}
Comments
11 pages, Abstract and Introduction revised in view of new added references