2013/02/28 by Martin Henk, Carsten Thiel
Mathematics · #Point processes and geometric inequalities #math.CO #math.MG #msc:11H06 #msc:52C07
paper · pdf · doi:10.2140/pjm.2014.269.341
published as Pacific J. Math. 269 (2014) 341-354 · 11 pages, Abstract and Introduction revised in view of new added references
arxiv created 2013/03/13 · openalex publication_date 2014/07/26 · arxiv updated 2016/01/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We give bounds on the successive minima of an o-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.