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Invariant varieties through singularities of holomorphic vector fields. (English) Zbl 0503.32007

##### MSC:
 32S45 Modifications; resolution of singularities (complex-analytic aspects) 32A27 Residues for several complex variables 34C05 Topological structure of integral curves, singular points, limit cycles of ordinary differential equations 37C85 Dynamics induced by group actions other than $$\mathbb{Z}$$ and $$\mathbb{R}$$, and $$\mathbb{C}$$ 32Sxx Complex singularities 32C30 Integration on analytic sets and spaces, currents
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