The purpose of the paper under review is to produce new \(\mathcal{A}\)-finite map-germs from basic map-germs, also called elementary joins, obtained by joining the identity and a parametrized curve or a finite number of parametrized curves.
The authors also describe a general form of an \(\mathcal{A}\)-finite monomial map from \((\mathbb{C}^n,0)\) to \((\mathbb{C}^p,0)\) for \(p \geq 2n\) of any corank in terms of elementary join maps. More precisely, an operation, called join operation among a finite number of map-germs is presented, in order to produce classes of such map-germs.
The instruments used in the study are the delta invariant and some invariants of curves.