An integral criterion for the equivalence of plane curves

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...

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Autores principales: Dickenstein, Alicia Marcela, Sessa, Carmen I.
Publicado: 1982
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00252611_v37_n1_p1_Dickenstein
http://hdl.handle.net/20.500.12110/paper_00252611_v37_n1_p1_Dickenstein
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_00252611_v37_n1_p1_Dickenstein
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spelling paper:paper_00252611_v37_n1_p1_Dickenstein2023-06-08T14:52:48Z An integral criterion for the equivalence of plane curves Dickenstein, Alicia Marcela Sessa, Carmen I. 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. Fil:Dickenstein, A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Sessa, C. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 1982 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00252611_v37_n1_p1_Dickenstein http://hdl.handle.net/20.500.12110/paper_00252611_v37_n1_p1_Dickenstein
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description 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.
author Dickenstein, Alicia Marcela
Sessa, Carmen I.
spellingShingle Dickenstein, Alicia Marcela
Sessa, Carmen I.
An integral criterion for the equivalence of plane curves
author_facet Dickenstein, Alicia Marcela
Sessa, Carmen I.
author_sort Dickenstein, Alicia Marcela
title An integral criterion for the equivalence of plane curves
title_short An integral criterion for the equivalence of plane curves
title_full An integral criterion for the equivalence of plane curves
title_fullStr An integral criterion for the equivalence of plane curves
title_full_unstemmed An integral criterion for the equivalence of plane curves
title_sort integral criterion for the equivalence of plane curves
publishDate 1982
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00252611_v37_n1_p1_Dickenstein
http://hdl.handle.net/20.500.12110/paper_00252611_v37_n1_p1_Dickenstein
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AT sessacarmeni anintegralcriterionfortheequivalenceofplanecurves
AT dickensteinaliciamarcela integralcriterionfortheequivalenceofplanecurves
AT sessacarmeni integralcriterionfortheequivalenceofplanecurves
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