Bolytropes are bounded subsets of an affine building that consist of all points that have distance at most $r$ 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.

Bolytrope orders / El Maazouz, Y; Nebe, G; Stanojkovski, M. - In: INTERNATIONAL JOURNAL OF NUMBER THEORY. - ISSN 1793-0421. - 2023, 19:5(2023), pp. 937-954. [10.1142/S1793042123500471]

Bolytrope orders

Stanojkovski, M
2023-01-01

Abstract

Bolytropes are bounded subsets of an affine building that consist of all points that have distance at most $r$ 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.
2023
5
El Maazouz, Y; Nebe, G; Stanojkovski, M
Bolytrope orders / El Maazouz, Y; Nebe, G; Stanojkovski, M. - In: INTERNATIONAL JOURNAL OF NUMBER THEORY. - ISSN 1793-0421. - 2023, 19:5(2023), pp. 937-954. [10.1142/S1793042123500471]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11572/377608
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