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...
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | JOUR |
| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_00252611_v37_n1_p1_Dickenstein |
| Aporte de: |
| Sumario: | 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. |
|---|