Numerical control over complex analytic singularities:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, RI
American Mathematical Society
2003
|
| Schriftenreihe: | Memoirs of the American Mathematical Society
778 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | "Volume 163, number 778 (end of volume)." Includes bibliographical references and index |
| Beschreibung: | XII, 268 S. graph. Darst. |
| ISBN: | 0821832808 |
Internformat
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| 650 | 4 | |a Analytic spaces | |
| 650 | 4 | |a Hypersurfaces | |
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Datensatz im Suchindex
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| adam_text | TABLE OF CONTENTS
Abstract ix
Preface xi
Overview 1
Part I. Algebraic Preliminaries: Gap Sheaves and Vogel Cycles
Chapter 0. Introduction 3
Chapter 1. Gap Sheaves 4
Chapter 2. Gap Cycles and Vogel Cycles 8
Chapter 3. The Le Iomdine Vogel Formulas 27
Chapter 4. Summary of Part I 34
Part II. Le Cycles and Hypersurface Singularities
Introduction 37
Chapter 1. Definitions and Basic Properties 44
Chapter 2. Elementary Examples 65
Chapter 3. A Handle Decomposition of the Milnor Fibre 71
Chapter 4. Generalized Le Iomdine Formulas 75
Chapter 5. Le Numbers and Hyperplane Arrangements 91
Chapter 6. Thorn s af Condition 97
Chapter 7. Aligned Singularities 103
Chapter 8. Suspending Singularities 109
Chapter 9. Constancy of the Milnor Fibrations 114
vii
viii CONTENTS
Chapter 10. Another Characterization of the Le Cycles 120
Part III. Isolated Critical Points of Functions on Singular Spaces
Chapter 0. Introduction 123
Chapter 1. Critical Avatars 127
Chapter 2. The Relative Polar Curve 133
Chapter 3. The Link between the Algebraic and Topological Points of View 139
Chapter 4. The Special Case of Perverse Sheaves 146
Chapter 5. Thorn s a/ Condition 154
Chapter 6. Continuous Families of Constructive Complexes 160
Part IV. Non Isolated Critical Points of Functions on Singular Spaces
Chapter 0. Introduction 175
Chapter 1. Le Vogel Cycles 176
Chapter 2. Le Iomdine Formulas and Thorn s Condition 186
Chapter 3. Le Vogel Cycles and the Euler Characteristic 189
Appendix A. Analytic Cycles and Intersections 195
Appendix B. The Derived Category 203
Appendix C. Privileged Neighborhoods and Lifting Milnor Fibrations 243
References 261
Index 267
|
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| author | Massey, David B. 1959- |
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| institution | BVB |
| isbn | 0821832808 |
| language | English |
| lccn | 2003040369 |
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| physical | XII, 268 S. graph. Darst. |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| publisher | American Mathematical Society |
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| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| spelling | Massey, David B. 1959- Verfasser (DE-588)172923387 aut Numerical control over complex analytic singularities David B. Massey Providence, RI American Mathematical Society 2003 XII, 268 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society 778 "Volume 163, number 778 (end of volume)." Includes bibliographical references and index Analytische ruimten gtt SINGULARIDADES (GEOMETRIA ALGÉBRICA) larpcal Singulariteiten gtt TOPOLOGIA larpcal VARIEDADES COMPLEXAS larpcal Analytic sheaves Analytic spaces Hypersurfaces Milnor fibration Singularities (Mathematics) Analytischer Raum (DE-588)4001871-4 gnd rswk-swf Singularität Mathematik (DE-588)4077459-4 gnd rswk-swf Milnor-Faserung (DE-588)4280290-8 gnd rswk-swf Analytische Garbe (DE-588)4142349-5 gnd rswk-swf Hyperfläche (DE-588)4161054-4 gnd rswk-swf Milnor-Faserung (DE-588)4280290-8 s Hyperfläche (DE-588)4161054-4 s Analytische Garbe (DE-588)4142349-5 s Analytischer Raum (DE-588)4001871-4 s Singularität Mathematik (DE-588)4077459-4 s DE-604 Memoirs of the American Mathematical Society 778 (DE-604)BV008000141 778 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010197238&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Massey, David B. 1959- Numerical control over complex analytic singularities Memoirs of the American Mathematical Society Analytische ruimten gtt SINGULARIDADES (GEOMETRIA ALGÉBRICA) larpcal Singulariteiten gtt TOPOLOGIA larpcal VARIEDADES COMPLEXAS larpcal Analytic sheaves Analytic spaces Hypersurfaces Milnor fibration Singularities (Mathematics) Analytischer Raum (DE-588)4001871-4 gnd Singularität Mathematik (DE-588)4077459-4 gnd Milnor-Faserung (DE-588)4280290-8 gnd Analytische Garbe (DE-588)4142349-5 gnd Hyperfläche (DE-588)4161054-4 gnd |
| subject_GND | (DE-588)4001871-4 (DE-588)4077459-4 (DE-588)4280290-8 (DE-588)4142349-5 (DE-588)4161054-4 |
| title | Numerical control over complex analytic singularities |
| title_auth | Numerical control over complex analytic singularities |
| title_exact_search | Numerical control over complex analytic singularities |
| title_full | Numerical control over complex analytic singularities David B. Massey |
| title_fullStr | Numerical control over complex analytic singularities David B. Massey |
| title_full_unstemmed | Numerical control over complex analytic singularities David B. Massey |
| title_short | Numerical control over complex analytic singularities |
| title_sort | numerical control over complex analytic singularities |
| topic | Analytische ruimten gtt SINGULARIDADES (GEOMETRIA ALGÉBRICA) larpcal Singulariteiten gtt TOPOLOGIA larpcal VARIEDADES COMPLEXAS larpcal Analytic sheaves Analytic spaces Hypersurfaces Milnor fibration Singularities (Mathematics) Analytischer Raum (DE-588)4001871-4 gnd Singularität Mathematik (DE-588)4077459-4 gnd Milnor-Faserung (DE-588)4280290-8 gnd Analytische Garbe (DE-588)4142349-5 gnd Hyperfläche (DE-588)4161054-4 gnd |
| topic_facet | Analytische ruimten SINGULARIDADES (GEOMETRIA ALGÉBRICA) Singulariteiten TOPOLOGIA VARIEDADES COMPLEXAS Analytic sheaves Analytic spaces Hypersurfaces Milnor fibration Singularities (Mathematics) Analytischer Raum Singularität Mathematik Milnor-Faserung Analytische Garbe Hyperfläche |
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