Abstract
We denote by
the complement of the complexification of a real arrangement
of hyperplanes. It is known that there is a certain technical property, called property D, on real arrangements of hyperplanes such that: if a real arrangement
of hyperplanes is simplicial then
has property D, and if
has property D then
is aK(π, 1) space. Our main goal is to prove that: if
has property D then
is simplicial. We also prove that a quasi-simplicial arrangement is always simplicial.
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Paris, L. Arrangements of hyperplanes with property D. Geom Dedicata 45, 171–176 (1993). https://doi.org/10.1007/BF01264519
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DOI: https://doi.org/10.1007/BF01264519