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Additional Physical Format: | Online version: Orlik, Peter, 1938- Arrangements of hyperplanes. Berlin ; New York : Springer-Verlag, ©1992 (OCoLC)696254698 |
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Material Type: | Internet resource |
Document Type: | Book, Internet Resource |
All Authors / Contributors: |
Peter Orlik; Hiroaki Terao |
ISBN: | 3540552596 9783540552598 0387552596 9780387552590 |
OCLC Number: | 25409160 |
Description: | xviii, 325 pages : illustrations ; 25 cm. |
Contents: | 1. Introduction -- 1.1. Introduction History -- 1.2. Definitions and Examples -- 1.3. Outline -- 2. Combinatorics -- 2.1. The Poset L(A) -- 2.2. The Mobius Function -- 2.3. The Poincare Polynomial -- 2.4. Graphic Arrangements -- 3. Algebras -- 3.1. A(A) for Central Arrangements -- 3.2. A(A) for Affine Arrangements -- 3.3. Algebra Factorizations -- 3.4. The Algebra B(A) -- 3.5. Differential Forms -- 4. Free Arrangements -- 4.1. The Module D(A) -- 4.2. Free Arrangements -- 4.3. The Addition-Deletion Theorem -- 4.4. The Modules [omega[superscript p]] (A) -- 4.5. Lattice Homology -- 4.6. The Characteristic Polynomial -- 5. Topology -- 5.1. The Complement M(A) -- 5.2. The Homotopy Type of M(A) -- 5.3. The Fundamental Group -- 5.4. The Cohomology of M(A) -- 5.5. The Fibration Theorem -- 5.6. Related Research -- 6. Reflection Arrangements -- 6.1. Equivariant Theory -- 6.2. Reflection Arrangements -- 6.3. Free Arrangements -- 6.4. The Structure of L(A) -- 6.5. Restrictions -- 6.6. Topology. A. Some Commutative Algebra -- A.1. Free Modules -- A.2. Krull Dimension -- A.3. Graded Modules -- A.4. Associated Primes and Regular Sequences. B. Basic Derivations -- B.1. The Infinite Families -- B.2. Exceptional Groups of Rank 2 -- B.3. Groups of Rank [actual symbol not reproducible] 3 -- B.4. The Coexponents. C. Orbit Types -- D. Three-Dimensional Restrictions. |
Series Title: | Grundlehren der mathematischen Wissenschaften, 300. |
Responsibility: | Peter Orlik, Hiroaki Terao. |
More information: |
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Related Subjects:(24)
- Combinatorial geometry.
- Combinatorial enumeration problems.
- Lattice theory.
- algèbre.
- arrangement.
- combinatoire.
- hyperplan.
- topologie.
- Géométrie combinatoire.
- Hyperplans.
- Problèmes combinatoires d'énumération.
- Théorie des treillis.
- Anordnung
- Gittertheorie
- Hyperebene
- Hyperfläche
- Kombinatorische Geometrie
- Treillis, théorie des.
- Anordnung (Mathematik)
- Anordnung.
- Gittertheorie.
- Hyperebene.
- Hyperfläche.
- Kombinatorische Geometrie.