The corank is invariant under Blow-Nash equivalence
Fichou, Goulwen
HAL, hal-00001492 / Harvested from HAL
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.
Publié le : 2004-04-27
Classification:  MSC 14B05, 14P20, 14P25, 32S15,  [MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG]
@article{hal-00001492,
     author = {Fichou, Goulwen},
     title = {The corank is invariant under Blow-Nash equivalence},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00001492}
}
Fichou, Goulwen. The corank is invariant under Blow-Nash equivalence. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00001492/