Introduction to arrangements: [expository lectures from the CBMS regional conference held at Northern Arizona Univ., Flagstaff, Arizona, June 6-20, 1988]
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, RI
American Mathematical Society
1989
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| Series: | Regional conference series in mathematics ; 72
72 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 110 S. graph. Darst. |
| ISBN: | 0821807234 |
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MARC
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Record in the Search Index
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| adam_text | Contents
List of Figures vii
Preface ix
1 Introduction 1
Definitions and Examples 1
Outline 7
2 Combinatorics 11
The Lattice L(A) 11
The Mobius Function 15
The Poincare Polynomial of the Lattice 18
3 Combinatorial Algebras 24
The Algebra A[A) 24
The Algebra B(A) 29
4 Lattice Homology 34
The Order Complex 34
The Folkman Complex 36
Whitney Homology 41
5 The Complement M(A) 43
K(n, l) arrangements 44
Generic Arrangements 48
Arnold s Conjectures 49
6 The Cohomology of M(A) 51
The Poincare Polynomial of the Complement 51
The Cohomology Ring 55
Alexander Duality 57
Arrangements of Subspaces 59
vi CONTENTS
7 Differential Forms 61
The de Rham Complex 61
The Leray Residue 64
8 The Topology of M{A) 70
Salvetti s Complex 70
Minimal Models 77
Discriminantal Arrangements 79
9 Free Arrangements 82
The Module of ^ derivations 82
The Addition and Deletion Theorem 86
Inductively Free Arrangements 87
Factorization Theorem 88
10 Reflection Arrangements 91
Algebraic and Combinatorial Properties 91
The K{%, 1) Problem 96
References 100
|
| any_adam_object | 1 |
| author | Orlik, Peter |
| author_facet | Orlik, Peter |
| author_role | aut |
| author_sort | Orlik, Peter |
| author_variant | p o po |
| building | Verbundindex |
| bvnumber | BV003562139 |
| classification_rvk | SI 195 |
| ctrlnum | (OCoLC)630404042 (DE-599)BVBBV003562139 |
| discipline | Mathematik |
| format | Book |
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| genre | (DE-588)1071861417 Konferenzschrift 1988 Flagstaff Ariz. gnd-content |
| genre_facet | Konferenzschrift 1988 Flagstaff Ariz. |
| id | DE-604.BV003562139 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T16:01:55Z |
| institution | BVB |
| isbn | 0821807234 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002265998 |
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| physical | X, 110 S. graph. Darst. |
| publishDate | 1989 |
| publishDateSearch | 1989 |
| publishDateSort | 1989 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | Regional conference series in mathematics ; 72 |
| series2 | Regional conference series in mathematics |
| spelling | Orlik, Peter Verfasser aut Introduction to arrangements [expository lectures from the CBMS regional conference held at Northern Arizona Univ., Flagstaff, Arizona, June 6-20, 1988] Peter Orlik Providence, RI American Mathematical Society 1989 X, 110 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Regional conference series in mathematics 72 Anordnung Mathematik (DE-588)4211643-0 gnd rswk-swf Kombinatorische Geometrie (DE-588)4140733-7 gnd rswk-swf Hyperebene (DE-588)4161050-7 gnd rswk-swf Verbandstheorie (DE-588)4127072-1 gnd rswk-swf (DE-588)1071861417 Konferenzschrift 1988 Flagstaff Ariz. gnd-content Anordnung Mathematik (DE-588)4211643-0 s Hyperebene (DE-588)4161050-7 s DE-604 Verbandstheorie (DE-588)4127072-1 s Kombinatorische Geometrie (DE-588)4140733-7 s Regional conference series in mathematics ; 72 72 (DE-604)BV000004346 72 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002265998&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Orlik, Peter Introduction to arrangements [expository lectures from the CBMS regional conference held at Northern Arizona Univ., Flagstaff, Arizona, June 6-20, 1988] Regional conference series in mathematics ; 72 Anordnung Mathematik (DE-588)4211643-0 gnd Kombinatorische Geometrie (DE-588)4140733-7 gnd Hyperebene (DE-588)4161050-7 gnd Verbandstheorie (DE-588)4127072-1 gnd |
| subject_GND | (DE-588)4211643-0 (DE-588)4140733-7 (DE-588)4161050-7 (DE-588)4127072-1 (DE-588)1071861417 |
| title | Introduction to arrangements [expository lectures from the CBMS regional conference held at Northern Arizona Univ., Flagstaff, Arizona, June 6-20, 1988] |
| title_auth | Introduction to arrangements [expository lectures from the CBMS regional conference held at Northern Arizona Univ., Flagstaff, Arizona, June 6-20, 1988] |
| title_exact_search | Introduction to arrangements [expository lectures from the CBMS regional conference held at Northern Arizona Univ., Flagstaff, Arizona, June 6-20, 1988] |
| title_full | Introduction to arrangements [expository lectures from the CBMS regional conference held at Northern Arizona Univ., Flagstaff, Arizona, June 6-20, 1988] Peter Orlik |
| title_fullStr | Introduction to arrangements [expository lectures from the CBMS regional conference held at Northern Arizona Univ., Flagstaff, Arizona, June 6-20, 1988] Peter Orlik |
| title_full_unstemmed | Introduction to arrangements [expository lectures from the CBMS regional conference held at Northern Arizona Univ., Flagstaff, Arizona, June 6-20, 1988] Peter Orlik |
| title_short | Introduction to arrangements |
| title_sort | introduction to arrangements expository lectures from the cbms regional conference held at northern arizona univ flagstaff arizona june 6 20 1988 |
| title_sub | [expository lectures from the CBMS regional conference held at Northern Arizona Univ., Flagstaff, Arizona, June 6-20, 1988] |
| topic | Anordnung Mathematik (DE-588)4211643-0 gnd Kombinatorische Geometrie (DE-588)4140733-7 gnd Hyperebene (DE-588)4161050-7 gnd Verbandstheorie (DE-588)4127072-1 gnd |
| topic_facet | Anordnung Mathematik Kombinatorische Geometrie Hyperebene Verbandstheorie Konferenzschrift 1988 Flagstaff Ariz. |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002265998&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000004346 |
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