Open AccessOn algebraic representatives of topological types of analytic hypersurface germs
Author(s) -
Javier Fernández de Bobadilla
Publication year - 2011
Publication title -
journal of algebraic geometry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.824
H-Index - 50
eISSN - 1534-7486
pISSN - 1056-3911
DOI - 10.1090/s1056-3911-2011-00575-4
Subject(s) - hypersurface , mathematics , type (biology) , algebraic number , singularity , annotation , germ , semantics (computer science) , set (abstract data type) , pure mathematics , topology (electrical circuits) , algebra over a field , combinatorics , computer science , geometry , artificial intelligence , mathematical analysis , ecology , biology , programming language
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 1 -dimensional singular set and also for embedded topological types.