On algebraic representatives of homeomorphism types of analytic hypersurface germs

Details On algebraic representatives of homeomorphism types of analytic hypersurface germs On algebraic representatives of homeomorphism types of analytic hypersurface germs

2010-02-26

arxiv.org/abs/1002.5019v1

Mathematics

Algebraic Geometry

7 pages

Scientific paper

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 kwown. In this article we answer in the affirmative the case 1-dimensional singular set, also for embedded topological types.

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