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, A., Sessa, C.
Formato: JOUR
Acceso en línea: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
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spelling todo:paper_00252611_v37_n1_p1_Dickenstein2023-10-03T14:35:38Z An integral criterion for the equivalence of plane curves Dickenstein, A. Sessa, C. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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.
format JOUR
author Dickenstein, A.
Sessa, C.
spellingShingle Dickenstein, A.
Sessa, C.
An integral criterion for the equivalence of plane curves
author_facet Dickenstein, A.
Sessa, C.
author_sort Dickenstein, A.
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
url http://hdl.handle.net/20.500.12110/paper_00252611_v37_n1_p1_Dickenstein
work_keys_str_mv AT dickensteina anintegralcriterionfortheequivalenceofplanecurves
AT sessac anintegralcriterionfortheequivalenceofplanecurves
AT dickensteina integralcriterionfortheequivalenceofplanecurves
AT sessac integralcriterionfortheequivalenceofplanecurves
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