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Characteristic polyhedra of idealistic exponents with history
Schober, Bernd (2013) Characteristic polyhedra of idealistic exponents with history. PhD, Universität Regensburg.Date of publication of this fulltext: 16 Oct 2013 14:48
Thesis of the University of Regensburg
DOI to cite this document: 10.5283/epub.28877
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.
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Details
| 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 > Professoren und akademische Räte im Ruhestand > 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 |
| URN of the UB Regensburg | urn:nbn:de:bvb:355-epub-288773 |
| Item ID | 28877 |
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