Go to content
UR Home

Characteristic polyhedra of idealistic exponents with history

Schober, Bernd (2013) Characteristic polyhedra of idealistic exponents with history. PhD, Universität Regensburg.

[img]
Preview
License: Publishing license for publications including print on demand
PDF
Download (1MB)
Date of publication of this fulltext: 16 Oct 2013 14:48

Abstract (English)

We construct a characteristic polyhedral for idealistic exponents over arbitrary fields. From this we deduce a new approach to the invariant introduced by Bierstone and Milman to give a constructive proof of Hironaka’s resolution of singularities in characteristic zero. A special feature of our approach is that we only have to consider polyhedra.

Translation of the abstract (German)

Wir konstruieren einen charakteristischen Polyeder für idealistische Exponenten über beliebigen Körpern. Aus diesem leiten wir einen neuen Ansatz zur Invariante von Bierstone und Milman her, welche jene einführten um einen konstruktiven Beweis für Hironakas Auflösung von Singularitäten in Charakteristik Null zu geben. Eine Besonderheit unseres Zugangs liegt darin, dass ausschließlich Polyeder betrachtet werden.


Export bibliographical data



Item type:Thesis of the University of Regensburg (PhD)
Date:16 October 2013
Referee:Prof. Dr. Uwe Jannsen
Date of exam:18 July 2013
Institutions:Mathematics > Prof. Dr. Uwe Jannsen
Keywords:Resolution of singularities, idealistic exponents, characteristic polyhedra, Bierstone-Milman invariant
Dewey Decimal Classification:500 Science > 510 Mathematics
Status:Published
Refereed:Yes, this version has been refereed
Created at the University of Regensburg:Yes
Item ID:28877
Owner only: item control page

Downloads

Downloads per month over past year

  1. Homepage UR

University Library

Publication Server

Contact:

Publishing: oa@ur.de

Dissertations: dissertationen@ur.de

Research data: daten@ur.de

Contact persons