Blow-Nash types of simple singularities

Details Blow-Nash types of simple singularities Blow-Nash types of simple singularities

2007-02-23

arxiv.org/abs/math/0702688v1

Mathematics

Algebraic Geometry

16 pages

Scientific paper

We address the question of the classification under blow-Nash equivalence of simple Nash function germs. We state that this classification coincides with the real analytic classification. We prove moreover that a simple germ can not be blow-Nash equivalent to a nonsimple one. The method is based on the computation of relevant coefficients of the real zeta functions associated to a Nash germ via motivic integration.

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