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Comptes Rendus Mathématique
Volume 336, n° 9
pages 757-762 (mai 2003)
Doi : 10.1016/S1631-073X(03)00165-1
Received : 12 Mars 2003 ;  accepted : 12 Mars 2003
Sur la forme de Seifert entière des germes de courbe plane à deux branches
On the integral Seifert form of plane curve germs with two branches

Philippe  du Bois
UMR 6093 CNRS, Université d'Angers, 2, boulevard Lavoisier, 49045 Angers, France 


Nous démontrons que deux germes de courbe plane à deux branches, qui sont isomères, ont des formes de Seifert entières isomorphes, en utilisant la filtration par le poids sur l'homologie entière de la fibre de Milnor. Pour citer cet article : P. du Bois, C. R. Acad. Sci. Paris, Ser. I 336 (2003).


Two plane curve germs with two branches, which are isomeric, are shown to have isomorphic integral Seifert forms. The weight filtration on the integral homology of the Milnor fiber is the key ingredient of the proof. To cite this article: P. du Bois, C. R. Acad. Sci. Paris, Ser. I 336 (2003).

© 2003  Académie des sciences@@#104156@@

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