Bois, Hunault: Classification des formes de Seifert rationnelles des germes de courbe plane

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Philippe Du Bois; Ollivier Hunault
Classification des formes de Seifert rationnelles des germes de courbe plane
Annales de l'institut Fourier, 46 no. 2 (1996), p. 371-410, doi: 10.5802/aif.1518
Article PDF | Reviews MR 97g:32048 | Zbl 0854.32021 | 2 citations in Cedram

Résumé - Abstract

We give an explicit description of the rational Seifert form associated with a plane curve germ, up to isomorphism or up to Witt-equivalence, in terms of a complete set of invariants determined by the topological type of the germ. The invariants are related to the classification of hermitian forms on cyclotomic extensions of ${\Bbb Q}$ and of quadratic forms on ${\Bbb Q}$.

As an application, we find cobordant and nonisotopic algebraic knots, the monodromy of which is of finite order.

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