An improvement of de Jong-Oort’s purity theorem

Consider an F-crystal over a noetherian scheme S. De Jong-Oort’s purity theorem states that the associated Newton polygons over all points of S are constant if this is true outside a subset of codimension bigger than 1. In this paper we show an improvement of the theorem, which says that the Newton...

Verfasser: Yang, Yanhong
Dokumenttypen:Artikel
Medientypen:Text
Erscheinungsdatum:2011
Publikation in MIAMI:14.11.2011
Datum der letzten Änderung:27.01.2023
Quelle:Münster Journal of Mathematics, 4 (2011), S. 129-140
Angaben zur Ausgabe:[Electronic ed.]
Fachgebiet (DDC):510: Mathematik
Lizenz:InC 1.0
Sprache:English
Format:PDF-Dokument
URN:urn:nbn:de:hbz:6-32449561241
Permalink:https://nbn-resolving.de/urn:nbn:de:hbz:6-32449561241
Onlinezugriff:mjm_vol_4_08.pdf

Consider an F-crystal over a noetherian scheme S. De Jong-Oort’s purity theorem states that the associated Newton polygons over all points of S are constant if this is true outside a subset of codimension bigger than 1. In this paper we show an improvement of the theorem, which says that the Newton polygons over all points of S have a common break point if this is true outside a subset of codimension bigger than 1.