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Supersolvable arrangement

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In mathematics, a supersolvable arrangement is a hyperplane arrangement which has a maximal flag with only modular elements. A complex hyperplane arrangement is supersolvable if and only if its complement is fiber-type.

Examples include arrangements associated with Coxeter groups of type A and B.

It is known that all Orlik–Solomon algebras of supersolvable arrangements are Koszul algebras; whether the converse is true is an open problem.[1]

References

  1. ^ Sergey Yuzvinsky, Orlik–Solomon algebras in algebra and topology, Russian Math. Surveys 56 (2001), no. 2, 293–364. MR1859708
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