Blow-Nash types of simple singularities
FICHOU, Goulwen
J. Math. Soc. Japan, Tome 60 (2008) no. 1, p. 445-470 / Harvested from Project Euclid
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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.
Publié le : 2008-04-15
Classification:  blow-Nash equivalence,  simple singularities,  virtual Poincaré polynomial,  14B05,  14P20,  14P25,  32S15 
@article{1212156658,
     author = {FICHOU, Goulwen},
     title = {Blow-Nash types of simple singularities},
     journal = {J. Math. Soc. Japan},
     volume = {60},
     number = {1},
     year = {2008},
     pages = { 445-470},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1212156658}
}

FICHOU, Goulwen. Blow-Nash types of simple singularities. J. Math. Soc. Japan, Tome 60 (2008) no. 1, pp.  445-470. http://gdmltest.u-ga.fr/item/1212156658/