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Journal of Algebraic Geometry

Journal of Algebraic Geometry

Online ISSN 1534-7486; Print ISSN 1056-3911



On algebraic representatives of topological types of analytic hypersurface germs

Author: Javier Fernández de Bobadilla
Journal: J. Algebraic Geom. 21 (2012), 789-797
Published electronically: November 28, 2011
MathSciNet review: 2957697
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Abstract | References | Additional Information

Abstract: A question of B. Teissier, inspired by a previous problem of R. Thom, asks whether for any germ of complex analytic hypersurface there exists a germ of complex algebraic hypersurface with the same topological type. Up to now, only the case of germs with an isolated singularity is known. In this article we answer in the affirmative, the case of the $1$-dimensional singular set and also for embedded topological types.

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Additional Information

Javier Fernández de Bobadilla
Affiliation: ICMAT (CSIC-Complutense-Autónoma- Carlos III), Departamento de Álgebra, Facultad de Ciencias Matemáticas, Universidad Complutense, Plaza de Ciencias 3, 28040 Madrid, Spain

Received by editor(s): March 2, 2010
Received by editor(s) in revised form: July 18, 2010
Published electronically: November 28, 2011
Additional Notes: Research partially supported by the ERC Starting Grant project TGASS and by Spanish Contract MTM2007-67908-C02-02. The author thanks the Faculty de Ciencias Matemáticas of the Universidad Complutense de Madrid for excellent working conditions.