  The complement of a complexified real line arrangement is an affine surface.
It is classically known that such a space has a handle decomposition up to
$2$-handles. We will describe the handle decomposition induced from Lefschetz
hyperplane section theorem for such a space. To describe the Kirby diagram, we
introduce the notion of the divide with cusps which is a generalization of the
divide introduced by A'Campo.

Geometric Topology;Combinatorics