English

The corank is invariant under Blow-Nash equivalence

Algebraic Geometry 2007-05-23 v1

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.

Cite

@article{arxiv.math/0404491,
  title  = {The corank is invariant under Blow-Nash equivalence},
  author = {Goulwen Fichou},
  journal= {arXiv preprint arXiv:math/0404491},
  year   = {2007}
}

Comments

7 pages

R2 v1 2026-07-22T17:04:49.284Z