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The corank is invariant under Blow-Nash equivalence

Abstract : 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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Submitted on : Tuesday, April 27, 2004 - 5:30:21 PM
Last modification on : Wednesday, October 20, 2021 - 3:18:38 AM
Long-term archiving on: : Monday, March 29, 2010 - 5:42:23 PM





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



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