Abstract
We give in this paper a necessary and sufficient condition for the Zariski equivalence of algebroid plane irreducible curves C≡(f=0) over an algebraically closed field of characteristic zero and, in the analytic case, an integral expression for the characteristic numbers. We express these numbers as the intersection multiplicities of (f=0) with a family of cycles associated to f, and also as residues of meromorphic differentials on C.
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Dickenstein, A., Sessa, C. An integral criterion for the equivalence of plane curves. Manuscripta Math 37, 1–9 (1982). https://doi.org/10.1007/BF01239940
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DOI: https://doi.org/10.1007/BF01239940