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- W2962923874 abstract "Let A be a free hyperplane arrangement. In 1989, Ziegler showed that the restriction A″ of A to any hyperplane endowed with the natural multiplicity is then a free multiarrangement. We initiate a study of the stronger freeness property of inductive freeness for these canonical free multiarrangements and investigate them for the underlying class of reflection arrangements. More precisely, let A=A(W) be the reflection arrangement of a complex reflection group W. By work of Terao, each such reflection arrangement is free. Thus so is Ziegler's canonical multiplicity on the restriction A″ of A to a hyperplane. We show that the latter is inductively free as a multiarrangement if and only if A″ itself is inductively free." @default.
- W2962923874 created "2019-07-30" @default.
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- W2962923874 date "2018-10-01" @default.
- W2962923874 modified "2023-10-18" @default.
- W2962923874 title "Inductive freeness of Ziegler's canonical multiderivations for reflection arrangements" @default.
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- W2962923874 doi "https://doi.org/10.1016/j.jalgebra.2018.06.037" @default.
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