Bolytrope orders
Rings and Algebras
2023-09-25 v2 Number Theory
Abstract
Bolytropes are bounded subsets of an affine building that consist of all points that have distance at most from some polytrope. We prove that the points of a bolytrope describe the set of all invariant lattices of a bolytrope order, generalizing the correspondence between polytropes and graduated orders.
Cite
@article{arxiv.2111.11244,
title = {Bolytrope orders},
author = {Yassine El Maazouz and Gabriele Nebe and Mima Stanojkovski},
journal= {arXiv preprint arXiv:2111.11244},
year = {2023}
}
Comments
Minor revisions according to referee's suggestions. To appear in International Journal of Number Theory