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

Abstract

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. $(3,4)$, resp. $(3,5)$).

Cited by in corpus (1)

• Some properties of the group of birational maps generated by the automorphisms of ${\mathbb{P}}_{\mathbb{C}}^n$ and the standard involution