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The corank is invariant under Blow-Nash equivalence

Goulwen Fichou
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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 Poincare polynomials and zeta functions associated to a Nash function germ.

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Goulwen Fichou. 2004-04-27. The corank is invariant under Blow-Nash equivalence. https://arxiv.org/abs/math/0404491

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