  Log-symplectic structures are Poisson structures $\pi$ on $X^{2n}$ for which
$\bigwedge^n \pi$ vanishes transversally. By viewing them as symplectic forms
in a Lie algebroid, the $b$-tangent bundle, we use symplectic techniques to
obtain existence results for log-symplectic structures on total spaces of
fibration-like maps. More precisely, we introduce the notion of a
$b$-hyperfibration and show that they give rise to log-symplectic structures.
Moreover, we link log-symplectic structures to achiral Lefschetz fibrations and
folded-symplectic structures.
