Extended shockwave decomposability related to boundaries of holomorphic 1-chains within ℂℙ²

We consider the notion of meromorphic Whitney multifunction solutions to ffξ = fη, which yields an enhanced version of the Dolbeault Henkin characterization of boundaries of holomorphic 1-chains within C ℙ². By analyzing the equations describing meromorphic Whitney multifunction solutions to ffξ = fη and by creating some generalizations of certain linear dependence results, we show that a function G may be decomposed into a sum of such solutions, modulo ξ-affine functions and with a selected bound on the degree of such sum, if and only if Gξξ satisfies a finite set of explicitly constructible partial differential equations.