Blow-Nash types of simple singularities
Goulwen FICHOU
Source: J. Math. Soc. Japan Volume 60, Number 2
(2008), 445-470.
Abstract
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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Permanent link to this document: http://projecteuclid.org/euclid.jmsj/1212156658
Digital Object Identifier: doi:10.2969/jmsj/06020445
Mathematical Reviews number (MathSciNet): MR2421984
Zentralblatt MATH identifier: 1143.14005
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