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On the Integrability of Singular Differential Forms in Two Complex Variables

On the Integrability of Singular Differential Forms in Two Complex Variables

In this work we study the integrability of a germ at $0 \in {{\mathbf {C}}^2}$ of a singular differential form for which the closure of the integral curves are analytic varieties that pass through $0$. The focii of this paper are the existence of pure meromorphic integrals, the linearization and …