Proceedings of the Japan Academy, Series A, Mathematical Sciences

Inequalities for free multi-braid arrangements

Michael Robert DiPasquale

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Abstract

Abe, Nuida, and Numata (2009) describe a large class of free multiplicities on the braid arrangement arising from signed-eliminable graphs. On a large cone in the multiplicity lattice, we prove that these are the only free multiplicities on the braid arrangement. We also give a conjecture on the structure of all free multiplicities on the braid arrangement.

Article information

Source
Proc. Japan Acad. Ser. A Math. Sci., Volume 94, Number 4 (2018), 36-41.

Dates
First available in Project Euclid: 5 April 2018

Permanent link to this document
https://projecteuclid.org/euclid.pja/1522915218

Digital Object Identifier
doi:10.3792/pjaa.94.36

Mathematical Reviews number (MathSciNet)
MR3783544

Zentralblatt MATH identifier
06929332

Subjects
Primary: 13N15: Derivations
Secondary: 05E40: Combinatorial aspects of commutative algebra 14N20: Configurations and arrangements of linear subspaces

Keywords
Freeness of multi-arrangements braid arrangement multi-derivations

Citation

DiPasquale, Michael Robert. Inequalities for free multi-braid arrangements. Proc. Japan Acad. Ser. A Math. Sci. 94 (2018), no. 4, 36--41. doi:10.3792/pjaa.94.36. https://projecteuclid.org/euclid.pja/1522915218


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References

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