• Corpus ID: 117949112

Exponents of 2-multiarrangements and freeness of 3-arrangements

@article{Abe2010ExponentsO2,
  title={Exponents of 2-multiarrangements and freeness of 3-arrangements},
  author={Takuro Abe},
  journal={arXiv: Commutative Algebra},
  year={2010}
}
  • T. Abe
  • Published 28 May 2010
  • Mathematics
  • arXiv: Commutative Algebra
We give the upper bound of differences of exponents for balanced 2-multiarrangements in terms of the cardinality of hyperplanes. Also, we give a shift isomorphism of 2-multiarrangements like Coxeter arrangements when the difference of exponents is maximum. As an application, a sufficient numerical and combinatorial condition for 3-arrangements to be free is given. 

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