Topological invariants of the complement to arrangements of rational plane curves:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, RI
American Mathematical Society
2002
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| Schriftenreihe: | Memoirs of the American Mathematical Society
756 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | "Volume 159, number 756 (third of 5 numbers)." |
| Beschreibung: | XIV, 75 S. graph. Darst. |
| ISBN: | 0821829424 |
Internformat
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| 100 | 1 | |a Cogolludo-Agustín, José Ignacio |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Topological invariants of the complement to arrangements of rational plane curves |c José Ignacio Cogolludo-Agustín |
| 264 | 1 | |a Providence, RI |b American Mathematical Society |c 2002 | |
| 300 | |a XIV, 75 S. |b graph. Darst. | ||
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| 490 | 1 | |a Memoirs of the American Mathematical Society |v 756 | |
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| 650 | 4 | |a Curves, Plane | |
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Datensatz im Suchindex
| _version_ | 1804129305582632960 |
|---|---|
| adam_text | Contents
Introduction ix
Acknowledgements xiv
Chapter 1. Preliminaries 1
1.1. Cohomology with coefficients in a local system 1
1.2. Characteristic varieties 4
1.3. C°° log complex of quasi projective algebraic varieties 8
Chapter 2. Ring structure of H*(P2 ft; C) 15
2.1. The spaces Hk(P2 V;C) and the residue maps 15
2.2. Logarithmic forms on non normal crossing divisors 18
2.3. A basis for Hx (P2 £ ; C) 19
2.4. The problem with the 2 forms 21
2.5. Logarithmic ideals 23
2.6. Construction of logarithmic trees 30
2.7. A holomorphic presentation for H2{¥2 ft; C) 38
2.8. The product in ff (P2 ft; C) 44
Chapter 3. Generalized Aomoto Complexes 47
3.1. Combinatorial type of an arrangement 48
3.2. The complex (A*,wc) 49
3.3. An equivalence of complexes 54
Chapter 4. Characteristic varieties, local systems and
rational arrangements 57
4.1. GAC s and cohomology of local systems 57
4.2. GAC s and characteristic varieties 60
Chapter 5. Examples 63
Bibliography 74
vii
|
| any_adam_object | 1 |
| author | Cogolludo-Agustín, José Ignacio |
| author_facet | Cogolludo-Agustín, José Ignacio |
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| ctrlnum | (OCoLC)49671705 (DE-599)BVBBV014486402 |
| dewey-full | 510 514 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics 514 - Topology |
| dewey-raw | 510 514 |
| dewey-search | 510 514 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV014486402 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T19:03:02Z |
| institution | BVB |
| isbn | 0821829424 |
| language | English |
| lccn | 2002025580 |
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| physical | XIV, 75 S. graph. Darst. |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | American Mathematical Society |
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| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| spelling | Cogolludo-Agustín, José Ignacio Verfasser aut Topological invariants of the complement to arrangements of rational plane curves José Ignacio Cogolludo-Agustín Providence, RI American Mathematical Society 2002 XIV, 75 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society 756 "Volume 159, number 756 (third of 5 numbers)." Algebraïsche meetkunde gtt Singulariteiten gtt Topologie gtt Cohomology operations Curves, Plane Singularities (Mathematics) Topologische Invariante (DE-588)4310559-2 gnd rswk-swf Singularität Mathematik (DE-588)4077459-4 gnd rswk-swf Glatte Kurve (DE-588)4157470-9 gnd rswk-swf Glatte Kurve (DE-588)4157470-9 s Topologische Invariante (DE-588)4310559-2 s DE-604 Singularität Mathematik (DE-588)4077459-4 s Memoirs of the American Mathematical Society 756 (DE-604)BV008000141 756 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009879668&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Cogolludo-Agustín, José Ignacio Topological invariants of the complement to arrangements of rational plane curves Memoirs of the American Mathematical Society Algebraïsche meetkunde gtt Singulariteiten gtt Topologie gtt Cohomology operations Curves, Plane Singularities (Mathematics) Topologische Invariante (DE-588)4310559-2 gnd Singularität Mathematik (DE-588)4077459-4 gnd Glatte Kurve (DE-588)4157470-9 gnd |
| subject_GND | (DE-588)4310559-2 (DE-588)4077459-4 (DE-588)4157470-9 |
| title | Topological invariants of the complement to arrangements of rational plane curves |
| title_auth | Topological invariants of the complement to arrangements of rational plane curves |
| title_exact_search | Topological invariants of the complement to arrangements of rational plane curves |
| title_full | Topological invariants of the complement to arrangements of rational plane curves José Ignacio Cogolludo-Agustín |
| title_fullStr | Topological invariants of the complement to arrangements of rational plane curves José Ignacio Cogolludo-Agustín |
| title_full_unstemmed | Topological invariants of the complement to arrangements of rational plane curves José Ignacio Cogolludo-Agustín |
| title_short | Topological invariants of the complement to arrangements of rational plane curves |
| title_sort | topological invariants of the complement to arrangements of rational plane curves |
| topic | Algebraïsche meetkunde gtt Singulariteiten gtt Topologie gtt Cohomology operations Curves, Plane Singularities (Mathematics) Topologische Invariante (DE-588)4310559-2 gnd Singularität Mathematik (DE-588)4077459-4 gnd Glatte Kurve (DE-588)4157470-9 gnd |
| topic_facet | Algebraïsche meetkunde Singulariteiten Topologie Cohomology operations Curves, Plane Singularities (Mathematics) Topologische Invariante Singularität Mathematik Glatte Kurve |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009879668&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
| work_keys_str_mv | AT cogolludoagustinjoseignacio topologicalinvariantsofthecomplementtoarrangementsofrationalplanecurves |