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Hyperplane Arrangements

  • Reference work entry
Encyclopedia of Optimization

Article Outline

Keywords

Some Examples

Combinatorics

Divisor

Complement

Ball Quotients

Logarithmic Forms

Hypergeometric Integrals

See also

References

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References

  1. Aomoto K, Kita M (1994) Hypergemetric functions. Springer, Berlin

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  2. Barthel G, Hirzebruch F, Höfer T (1987) Geradenkonfigurationen und Algebraische Flächen. Vieweg, Braunschweig/Wiesbaden

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  3. Björner A, Las Vergnas M, Sturmfels B, White N, Ziegler GM (1993) Oriented matroids. Cambridge Univ. Press, Cambridge

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  4. Goresky M, MacPherson R (1988) Stratified Morse theory. Springer, Berlin

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  5. Orlik P, Terao H (1992) Arrangements of hyperplanes. Springer, Berlin

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  6. Varchenko A (1995) Multidimensional hypergeometric functions and representation theory of Lie algebras and quantum groups. World Sci., Singapore

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  7. Zaslavsky T (1975) Facing up to arrangements: Face-count formulas for partitions of space by hyperplanes. Memoirs Amer Math Soc 154

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Author information

Authors and Affiliations

  1. Department Math., University Wisconsin, Madison, USA

    Peter Orlik

Authors
  1. Peter Orlik
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Editor information

Editors and Affiliations

  1. Department of Chemical Engineering, Princeton University, Princeton, NJ, 08544-5263, USA

    Christodoulos A. Floudas

  2. Center for Applied Optimization, Department of Industrial and Systems Engineering, University of Florida, Gainesville, FL, 32611-6595, USA

    Panos M. Pardalos

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© 2008 Springer-Verlag

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Orlik, P. (2008). Hyperplane Arrangements . In: Floudas, C., Pardalos, P. (eds) Encyclopedia of Optimization. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-74759-0_270

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