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Hyperplane arrangement complement with top degree Betti number being small

  • School of Mathematical Sciences, University of Science and Technology of China, Hefei 230026, China

Cite this:
https://doi.org/10.52396/JUST-2020-1119
  • Received Date: 24 July 2020
  • Rev Recd Date: 12 March 2021
  • Publish Date: 31 March 2021
    Abstract

  • Abstract

    The deletion-restriction method was used to classify hyperplane arrangements with the top degree Betti number of its complements being small.

    Abstract

    The deletion-restriction method was used to classify hyperplane arrangements with the top degree Betti number of its complements being small.
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    • References(3)
  • [1]
    Dimca A, Papadima S. Hypersurface complements, Milnor fibers and higher homotopy groups of arrangments. Annals of Mathematics, 2003, 158: 473-507.
    [2]
    Dimca A. Hyperplane Arrangements: An introduction. Berlin: Springer, 2017.
    [3]
    Orlik P, Terao H. Arrangements of Hyperplanes. Berlin: Springer, 1992.
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    [1]
    Dimca A, Papadima S. Hypersurface complements, Milnor fibers and higher homotopy groups of arrangments. Annals of Mathematics, 2003, 158: 473-507.
    [2]
    Dimca A. Hyperplane Arrangements: An introduction. Berlin: Springer, 2017.
    [3]
    Orlik P, Terao H. Arrangements of Hyperplanes. Berlin: Springer, 1992.
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