Induced and Complete Multinets View Full Text


Ontology type: schema:Chapter      Open Access: True


Chapter Info

DATE

2016

AUTHORS

Jeremiah Bartz

ABSTRACT

Multinets are certain configurations of lines and points with multiplicities in the complex projective plane \(\mathbb{P}^{2}\). They appear in the study of resonance and characteristic varieties of complex hyperplane arrangement complements and cohomology of Milnor fibers. In this paper, two properties of multinets, inducibility and completeness, and the relationship between them are explored with several examples presented. Specializations of multinets plays an integral role in our findings. The main result is the classification of complete 3-nets. More... »

PAGES

213-231

References to SciGraph publications

  • 2000-05. Cohomology of the Orlik–Solomon Algebras and Local Systems in COMPOSITIO MATHEMATICA
  • 2015-02. k-nets embedded in a projective plane over a field in COMBINATORICA
  • 1992. Arrangements of Hyperplanes in NONE
  • 2014-06. 3-Nets realizing a group in a projective plane in JOURNAL OF ALGEBRAIC COMBINATORICS
  • Book

    TITLE

    Configuration Spaces

    ISBN

    978-3-319-31579-9
    978-3-319-31580-5

    Author Affiliations

    Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/978-3-319-31580-5_9

    DOI

    http://dx.doi.org/10.1007/978-3-319-31580-5_9

    DIMENSIONS

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