On cubic birational maps of ${\mathbb{P}}_{\mathbb{C}}^3$

Julie Déserti, Frédéric Han

We study the birational maps of ${\mathbb{P}}_{\mathbb{C}}^3$. More precisely we describe the irreducible components of the set of birational maps of bidegree $(3,3)$ (resp. $(3,4)$, r…