Comptes Rendus
no. 9
Algebraic geometry/Topology
A note on the Zariski multiplicity conjecture

Presented by: David Trotman

Mahdi Teymuri Garakani1
1 Departamento de Matemáticas y Ciencias de la Computacion, Universidad de Santiago de Chile, Alameda, 3363, Estación Central, Santiago, Chile
Comptes Rendus. Mathématique, Volume 352 (2014) no. 9, pp. 725-729.

We prove that the algebraic multiplicities of two topologically equisingular isolated complex hypersurface singularities located at the origin are equal provided the continuous maps defining the topological right equivalence are Lipschitz on a generic real line segment departing from the origin.

On démontre que les multiplicités algébriques des singularités isolées de deux hypersurfaces complexes topologiquement équisingulières sont égales à condition que les applications qui définissent l'équivalence topologique à droite soient lipchitziennes sur un segment de droite réel, générique, contenant l'origine.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2014.07.010

Mahdi Teymuri Garakani 1

1 Departamento de Matemáticas y Ciencias de la Computacion, Universidad de Santiago de Chile, Alameda, 3363, Estación Central, Santiago, Chile 
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Mahdi Teymuri Garakani. A note on the Zariski multiplicity conjecture. Comptes Rendus. Mathématique, Volume 352 (2014) no. 9, pp. 725-729. doi : 10.1016/j.crma.2014.07.010. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2014.07.010/

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