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Abstract: Sets of hyperplanes in complex space are studied
for the interplay between the topological invariants associated with
them and the combinatorics of their linear dependence relations.
A linear hyperplane arrangement defines a nonisolated singularity.
We are motivated by the still open problem of whether, or to what extent,
the cohomology of the corresponding Milnor fibre can be described by
combinatorics. In this direction, we describe how combinatorics
reveals some information about the monodromy action on the fibre's
cohomology, particularly with integer or finite-field coefficients.
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