Characteristic polyhedra of idealistic exponents with history A purely polyhedral approach to the invariant introduced by Bierstone and Milman to give a constructive proof of Hironaka's resolution of singularities in characteristic zero
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| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
2013
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| Online-Zugang: | kostenfrei https://nbn-resolving.org/urn:nbn:de:bvb:355-epub-288773 Inhaltsverzeichnis |
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| 245 | 1 | 0 | |a Characteristic polyhedra of idealistic exponents with history |b A purely polyhedral approach to the invariant introduced by Bierstone and Milman to give a constructive proof of Hironaka's resolution of singularities in characteristic zero |c vorgelegt von Bernd Schober |
| 264 | 1 | |c 2013 | |
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| 502 | |a Regensburg, Univ., Diss., 2013 | ||
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| 912 | |a ebook | ||
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Datensatz im Suchindex
| DE-BY-TUM_katkey | 1958196 |
|---|---|
| DE-BY-UBM_katkey | 4826060 |
| _version_ | 1823055323077804032 |
| adam_text | CONTENTS
INTRODUCTION 5
1 IDEALISTIC EXPONENTS 13
1.1 DEFINITION AND FIRST PROPERTIES 13
1.2 TANGENT CONE, DIRECTRIX AND RIDGE 24
1.3 IDEALISTIC COEFFICIENT EXPONENTS AND THE D-INVARIANT 36
1.4 MAXIMAL CONTACT 44
2 CHARACTERISTIC POLYHEDRA AND IDEALISTIC EXPONENTS WITH HISTORY 49
2.1 MOTIVATION * A FIRST APPROACH VIA POLYHEDRA 49
2.2 HIRONAKA S CHARACTERISTIC POLYHEDRON 56
2.3 THE CHARACTERISTIC POLYHEDRON OF AN IDEALISTIC EXPONENT 67
2.4 RELATION TO THE NEWTON POLYHEDRON AND FURTHER PROPERTIES 80
2.5 THE 5-INVARIANT AND EXCEPTIONAL DATA 86
2.6 IDEALISTIC EXPONENTS WITH HISTORY 94
3 THE INVARIANT OF BIERSTONE AND MILMAN IN CHARACTERISTIC ZERO 101
3.1 THE SETUP 101
3.2 THE CASE WITHOUT EXCEPTIONAL DIVISORS 108
3.3 CONSTRUCTION OF THE INVARIANT IN THE GENERAL CASE 115
3.4 BEHAVIOR OF THE POLYHEDRA IN THE CONSTRUCTION OF THE INVARIANT ...
124
3.5 POSSIBLE SIMPLIFICATIONS FOR THE CONSTRUCTION 127
REFERENCES 133
HTTP://D-NB.INFO/1044059575
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| any_adam_object | 1 |
| author | Schober, Bernd |
| author_facet | Schober, Bernd |
| author_role | aut |
| author_sort | Schober, Bernd |
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| ctrlnum | (OCoLC)862829573 (DE-599)BVBBV041366555 |
| dewey-full | 514.224 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology |
| dewey-raw | 514.224 |
| dewey-search | 514.224 |
| dewey-sort | 3514.224 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Thesis Book |
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| physical | 136 S. |
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| spellingShingle | Schober, Bernd Characteristic polyhedra of idealistic exponents with history A purely polyhedral approach to the invariant introduced by Bierstone and Milman to give a constructive proof of Hironaka's resolution of singularities in characteristic zero Polyeder (DE-588)4132101-7 gnd Auflösung von Singularitäten (DE-588)4181537-3 gnd |
| subject_GND | (DE-588)4132101-7 (DE-588)4181537-3 (DE-588)4113937-9 |
| title | Characteristic polyhedra of idealistic exponents with history A purely polyhedral approach to the invariant introduced by Bierstone and Milman to give a constructive proof of Hironaka's resolution of singularities in characteristic zero |
| title_auth | Characteristic polyhedra of idealistic exponents with history A purely polyhedral approach to the invariant introduced by Bierstone and Milman to give a constructive proof of Hironaka's resolution of singularities in characteristic zero |
| title_exact_search | Characteristic polyhedra of idealistic exponents with history A purely polyhedral approach to the invariant introduced by Bierstone and Milman to give a constructive proof of Hironaka's resolution of singularities in characteristic zero |
| title_full | Characteristic polyhedra of idealistic exponents with history A purely polyhedral approach to the invariant introduced by Bierstone and Milman to give a constructive proof of Hironaka's resolution of singularities in characteristic zero vorgelegt von Bernd Schober |
| title_fullStr | Characteristic polyhedra of idealistic exponents with history A purely polyhedral approach to the invariant introduced by Bierstone and Milman to give a constructive proof of Hironaka's resolution of singularities in characteristic zero vorgelegt von Bernd Schober |
| title_full_unstemmed | Characteristic polyhedra of idealistic exponents with history A purely polyhedral approach to the invariant introduced by Bierstone and Milman to give a constructive proof of Hironaka's resolution of singularities in characteristic zero vorgelegt von Bernd Schober |
| title_short | Characteristic polyhedra of idealistic exponents with history |
| title_sort | characteristic polyhedra of idealistic exponents with history a purely polyhedral approach to the invariant introduced by bierstone and milman to give a constructive proof of hironaka s resolution of singularities in characteristic zero |
| title_sub | A purely polyhedral approach to the invariant introduced by Bierstone and Milman to give a constructive proof of Hironaka's resolution of singularities in characteristic zero |
| topic | Polyeder (DE-588)4132101-7 gnd Auflösung von Singularitäten (DE-588)4181537-3 gnd |
| topic_facet | Polyeder Auflösung von Singularitäten Hochschulschrift |
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