Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Puiseux parametric equations of analytic sets

Author: Fuensanta Aroca
Journal: Proc. Amer. Math. Soc. 132 (2004), 3035-3045
MSC (2000): Primary 32S05, 32B10; Secondary 14M25
Published electronically: June 2, 2004
MathSciNet review: 2063125
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We prove the existence of local Puiseux-type parameterizations of complex analytic sets via Laurent series convergent on wedges. We describe the wedges in terms of the Newton polyhedron of a function vanishing on the discriminant locus of a projection. The existence of a local parameterization of quasi-ordinary singularities of complex analytic sets of any codimension will come as a consequence of our main result.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 32S05, 32B10, 14M25

Retrieve articles in all journals with MSC (2000): 32S05, 32B10, 14M25

Additional Information

Fuensanta Aroca
Affiliation: Instituto de Matematicas UNAM (Unidad Cuernavaca), Apartado Postal 273-3, Administración de Correos 3, CP 62251, Cuernavaca, Morelos, Mexico
Address at time of publication: Departamento de Matemática, Instituto de Ciências Matemáticas e de Computação, Universidade de São Paulo, Caixa Postal 668, 13560-970 São Carlos SP, Brazil

Keywords: Parameterization, wedges, quasi-ordinary singularities
Received by editor(s): February 6, 2002
Received by editor(s) in revised form: May 19, 2003
Published electronically: June 2, 2004
Additional Notes: The author was supported first by Post-doctoral Grant of TMR Project Singularidades de Ecuaciones Diferenciales y Foliaciones at the University of Lisbon, and then by UNAM at Instituto de Matemáticas-Cuernavaca (Mexico)
Communicated by: Ronald A. Fintushel
Article copyright: © Copyright 2004 American Mathematical Society