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. © 1982 Springer-Verlag.
Documento: | Artículo |
Título: | An integral criterion for the equivalence of plane curves |
Autor: | Dickenstein, A.; Sessa, C. |
Filiación: | Fac. Cs. Exactas y Naturales Dto. de Matemática, Ciudad Universitaria -Pab. I, Buenos Aires, 1428, Argentina |
Año: | 1982 |
Volumen: | 37 |
Número: | 1 |
Página de inicio: | 1 |
Página de fin: | 9 |
DOI: | http://dx.doi.org/10.1007/BF01239940 |
Título revista: | Manuscripta Mathematica |
Título revista abreviado: | Manuscripta Math |
ISSN: | 00252611 |
Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00252611_v37_n1_p1_Dickenstein |