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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 polygons over all points of S have a common break point if this is true outside a subset of codimension bigger than 1.

Titel: An improvement of de Jong-Oort’s purity theorem
Verfasser: Yang, Yanhong
Organisation: FB 10: Mathematik und Informatik
Dokumenttyp: Artikel
Medientyp: Text
Erscheinungsdatum: 2011
Publikation in MIAMI: 14.11.2011
Datum der letzten Änderung: 08.05.2015
Zeitschrift/Periodikum: Münster Journal of Mathematics / 4 (2011), S. 129 - 140
Fachgebiete: Mathematik
Sprache: Englisch
Format: PDF-Dokument
URN: urn:nbn:de:hbz:6-32449561241
Permalink: https://nbn-resolving.org/urn:nbn:de:hbz:6-32449561241
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