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Pré-Publication, Document De Travail Année : 2004

The corank is invariant under Blow-Nash equivalence

Résumé

We address the following question, raised by T. Fukui. Is the corank an invariant of the blow-analytic equivalence between real analytic function germs? We give a partial positive answer in the particular case of the blow-Nash equivalence. The proof is based on the computation of some virtual Poincaré polynomials and zeta functions associated to a Nash function germ.
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Dates et versions

hal-00001492 , version 1 (27-04-2004)

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Goulwen Fichou. The corank is invariant under Blow-Nash equivalence. 2004. ⟨hal-00001492⟩
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