no. 9
Algebraic geometry/Topology
A note on the Zariski multiplicity conjecture
[Note sur la conjecture de multiplicité de Zariski]

Présenté par : David Trotman

Teymuri Garakani, Mahdi1
1 Departamento de Matemáticas y Ciencias de la Computacion, Universidad de Santiago de Chile, Alameda, 3363, Estación Central, Santiago, Chile
Comptes Rendus. Mathématique, Tome 352 (2014) no. 9, pp. 725-729.

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.

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.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2014.07.010
Teymuri Garakani, Mahdi 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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Teymuri Garakani, Mahdi. A note on the Zariski multiplicity conjecture. Comptes Rendus. Mathématique, Tome 352 (2014) no. 9, pp. 725-729. doi : 10.1016/j.crma.2014.07.010. http://www.numdam.org/articles/10.1016/j.crma.2014.07.010/

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