The corank is invariant under Blow-Nash equivalence

Details The corank is invariant under Blow-Nash equivalence The corank is invariant under Blow-Nash equivalence

2004-04-27

arxiv.org/abs/math/0404491v1

Mathematics

Algebraic Geometry

7 pages

Scientific paper

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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