2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/70988We 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.7 pagesAlgebraic GeometryMSC 14B05, 14P20, 14P25, 32S15text