Singularities and topology of hypersurfaces:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York
Springer
1992
|
| Series: | Universitext
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 250 - 259 |
| Physical Description: | xvi, 263 Seiten Diagramme |
| ISBN: | 3540977090 0387977090 |
Staff View
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| 100 | 1 | |a Dimca, Alexandru |d 1953- |0 (DE-588)1241582173 |4 aut | |
| 245 | 1 | 0 | |a Singularities and topology of hypersurfaces |c Alexandru Dimca |
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Record in the Search Index
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| adam_text | Contents
Preface vii
CHAPTER 1
Whitney Stratifications 1
1. Some Motivations and Basic Definitions 1
2. Topological Triviality and ^* Constant Deformations 8
3. The First Thorn Isotopy Lemma 14
4. On the Topology of Affine Hypersurfaces 19
5. Links and Conic Structures 22
6. On Zariski Theorems of Lefschetz Type 24
CHAPTER 2
Links of Curve and Surface Singularities 29
1. A Quick Trip into Classical Knot Theory 29
2. Links of Plane Curve Singularities 41
3. Links of Surface Singularities 49
4. Special Classes of Surface Singularities 58
CHAPTER 3
The Milnor Fibration and the Milnor Lattice 68
1. The Milnor Fibration 68
2. The Connectivity of the Link, of the Milnor Fiber, and of Its Boundary 76
3. Vanishing Cycles and the Intersection Form 81
4. Homology Spheres, Exotic Spheres, and the Casson Invariant 91
CHAPTER 4
Fundamental Groups of Hypersurface Complements 101
1. Some General Results 101
2. Presentations of Groups and Monodromy Relations 111
3. The van Kampen Zariski Theorem 121
4. Two Classical Examples 129
xvi Contents
CHAPTER 5
Protective Complete Intersections 139
1. Topology of the Projective Space P 139
2. Topology of Complete Intersections 142
3. Smooth Complete Intersections 151
4. Complete Intersections with Isolated Singularities 160
CHAPTER 6
de Rham Cohomology of Hypersurface Complements 177
1. Differential Forms on Hypersurface Complements 177
2. Spectral Sequences and Koszul Complexes 190
3. Singularities with a One Dimensional Critical Locus 196
4. Alexander Polynomials and Defects of Linear Systems 207
APPENDIX A
Integral Bilinear Forms and Dynkin Diagrams 219
APPENDIX B
Weighted Projective Varieties 230
APPENDIX C
Mixed Hodge Structures 238
References 249
Index 261
|
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| author_GND | (DE-588)1241582173 |
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| discipline | Mathematik |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:31:46Z |
| institution | BVB |
| isbn | 3540977090 0387977090 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-003493060 |
| oclc_num | 246812236 |
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| owner_facet | DE-384 DE-91G DE-BY-TUM DE-739 DE-703 DE-824 DE-29T DE-19 DE-BY-UBM DE-634 DE-11 DE-188 DE-83 |
| physical | xvi, 263 Seiten Diagramme |
| publishDate | 1992 |
| publishDateSearch | 1992 |
| publishDateSort | 1992 |
| publisher | Springer |
| record_format | marc |
| series2 | Universitext |
| spelling | Dimca, Alexandru 1953- (DE-588)1241582173 aut Singularities and topology of hypersurfaces Alexandru Dimca New York Springer 1992 xvi, 263 Seiten Diagramme txt rdacontent n rdamedia nc rdacarrier Universitext Literaturverz. S. 250 - 259 Hyperfläche (DE-588)4161054-4 gnd rswk-swf Hyperflächensingularität (DE-588)4161055-6 gnd rswk-swf Singularität Mathematik (DE-588)4077459-4 gnd rswk-swf Algebraische Topologie (DE-588)4120861-4 gnd rswk-swf Hyperfläche (DE-588)4161054-4 s Singularität Mathematik (DE-588)4077459-4 s Algebraische Topologie (DE-588)4120861-4 s DE-604 Hyperflächensingularität (DE-588)4161055-6 s Erscheint auch als Online-Ausgabe 978-1-4612-4404-2 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003493060&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Dimca, Alexandru 1953- Singularities and topology of hypersurfaces Hyperfläche (DE-588)4161054-4 gnd Hyperflächensingularität (DE-588)4161055-6 gnd Singularität Mathematik (DE-588)4077459-4 gnd Algebraische Topologie (DE-588)4120861-4 gnd |
| subject_GND | (DE-588)4161054-4 (DE-588)4161055-6 (DE-588)4077459-4 (DE-588)4120861-4 |
| title | Singularities and topology of hypersurfaces |
| title_auth | Singularities and topology of hypersurfaces |
| title_exact_search | Singularities and topology of hypersurfaces |
| title_full | Singularities and topology of hypersurfaces Alexandru Dimca |
| title_fullStr | Singularities and topology of hypersurfaces Alexandru Dimca |
| title_full_unstemmed | Singularities and topology of hypersurfaces Alexandru Dimca |
| title_short | Singularities and topology of hypersurfaces |
| title_sort | singularities and topology of hypersurfaces |
| topic | Hyperfläche (DE-588)4161054-4 gnd Hyperflächensingularität (DE-588)4161055-6 gnd Singularität Mathematik (DE-588)4077459-4 gnd Algebraische Topologie (DE-588)4120861-4 gnd |
| topic_facet | Hyperfläche Hyperflächensingularität Singularität Mathematik Algebraische Topologie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003493060&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT dimcaalexandru singularitiesandtopologyofhypersurfaces |