Tjurina number of a local complete intersection curve

In contrast to the Milnor number, there was no known formula relating the Tjurina number of a reducible curve to the Tjurina numbers of its components. In this work we exhibit such a formula relating Tjurina number of a complete intersection algebroid (or analytic) curve over an algebraically closed field of characteristic zero (or over C) to the Tjurina numbers of its components, involving the intersection indices among the components and numerical analytic invariants extracted from modules of K & auml;hler differentials on unions of branches of the curve.