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A refinement of Hironaka's additive group schemes for an extended invariant
Dietel, Bernhard (2015) A refinement of Hironaka's additive group schemes for an extended invariant. PhD, Universität Regensburg.Date of publication of this fulltext: 26 Feb 2015 14:29
Thesis of the University of Regensburg
DOI to cite this document: 10.5283/epub.31359
Abstract (English)
Hironaka introduced certain additive group schemes to obtain information about the locus of near points under a permissible blow up in resolution of singularities in positive characteristic. The aim of this thesis is to introduce new additive group schemes, adapted to the locus of very near points, and to show that they have properties comparable to Hironaka's group schemes.
Translation of the abstract (German)
Hironaka führte gewisse additive Gruppenschemata ein um Informationen über den Ort der nahen Punkte unter einer zulässigen Aufblasung zu erhalten im Bereich der Auflösung von Singularitäten in positiver Characteristik. Das Ziel dieser Arbeit ist es neue additive Gruppenschemata einzuführen, angepasst an den Ort der sehr nahen Punkte, und zu zeigen, dass diese vergleichbare Eigenschaften haben.
Involved Institutions
Details
| Item type | Thesis of the University of Regensburg (PhD) |
| Open Access Type: | Primary Publication |
|---|---|
| Date | 26 February 2015 |
| Referee | Prof. Dr. Uwe Jannsen |
| Date of exam | 26 January 2015 |
| Institutions | Mathematics > Professoren und akademische Räte im Ruhestand > Prof. Dr. Uwe Jannsen |
| Keywords | resolution of singularities, hironaka, group scheme, ridge |
| 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-313590 |
| Item ID | 31359 |
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