Heavy hyperplanes in multiarrangements and their freeness
Abe T, Kühne L (2018)
Journal of Algebraic Combinatorics 48(4): 581-606.
Zeitschriftenaufsatz
| Veröffentlicht | Englisch
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Autor*in
Abe, Takuro;
Kühne, LukasUniBi 
Einrichtung
Abstract / Bemerkung
Only few categories of free arrangements are known in which Terao's conjecture holds. One of such categories consists of 3-arrangements with unbalanced Ziegler restrictions. In this paper, we generalize this result to arbitrary dimensional arrangements in terms of flags by introducing unbalanced multiarrangements. For that purpose, we generalize several freeness criterions for simple arrangements, including Yoshinaga's freeness criterion, to unbalanced multiarrangements.
Stichworte
Hyperplane arrangements;
Freeness;
Multiarrangements;
Supersolvable arrangements
Erscheinungsjahr
2018
Zeitschriftentitel
Journal of Algebraic Combinatorics
Band
48
Ausgabe
4
Seite(n)
581-606
ISSN
0925-9899
eISSN
1572-9192
Page URI
https://pub.uni-bielefeld.de/record/2982056
Zitieren
Abe T, Kühne L. Heavy hyperplanes in multiarrangements and their freeness. Journal of Algebraic Combinatorics. 2018;48(4):581-606.
Abe, T., & Kühne, L. (2018). Heavy hyperplanes in multiarrangements and their freeness. Journal of Algebraic Combinatorics, 48(4), 581-606. https://doi.org/10.1007/s10801-017-0806-y
Abe, Takuro, and Kühne, Lukas. 2018. “Heavy hyperplanes in multiarrangements and their freeness”. Journal of Algebraic Combinatorics 48 (4): 581-606.
Abe, T., and Kühne, L. (2018). Heavy hyperplanes in multiarrangements and their freeness. Journal of Algebraic Combinatorics 48, 581-606.
Abe, T., & Kühne, L., 2018. Heavy hyperplanes in multiarrangements and their freeness. Journal of Algebraic Combinatorics, 48(4), p 581-606.
T. Abe and L. Kühne, “Heavy hyperplanes in multiarrangements and their freeness”, Journal of Algebraic Combinatorics, vol. 48, 2018, pp. 581-606.
Abe, T., Kühne, L.: Heavy hyperplanes in multiarrangements and their freeness. Journal of Algebraic Combinatorics. 48, 581-606 (2018).
Abe, Takuro, and Kühne, Lukas. “Heavy hyperplanes in multiarrangements and their freeness”. Journal of Algebraic Combinatorics 48.4 (2018): 581-606.
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