Freeness and multirestriction of hyperplane arrangements

Details Freeness and multirestriction of hyperplane arrangements Freeness and multirestriction of hyperplane arrangements

2010-03-03

arxiv.org/abs/1003.0917v2

Mathematics

Algebraic Geometry

8 pages

Scientific paper

Generalizing a result of Yoshinaga in dimension 3, we show that a central hyperplane arrangement in 4-space is free exactly if its restriction with multiplicities to a fixed hyperplane of the arrangement is free and its reduced characteristic polynomial equals the characteristic polynomial of this restriction. We show that the same statement holds true in any dimension when imposing certain tameness hypotheses.

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