Restricted successive minima

Martin Henk, Carsten Thiel
2014 Pacific Journal of Mathematics  
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.
doi:10.2140/pjm.2014.269.341 fatcat:sgotvoquqbckvjmqglzkmocwze