Join operation and ${\mathcal A}$-finite map-germs

Abstract

In this work we define some map-germs, called elementary joins, for the purpose of producing new A-finite map-germs from them. In particular, we describe a general form of an A-finite monomial map from (C n , 0) to (C p , 0) for p ≥ 2n of any corank in terms of elementary join maps. Our main tools are the delta invariant and some invariants of curves.