On the equivariant blow-Nash classification of simple invariant Nash   germs
  We make progress towards the classification of simple Nash germs invariant under the involution changing the sign of the first coordinate, with respect to equivariant blow-Nash equivalence, which is an equivariant Nash version of blow-analytic equivalence, taking advantage of invariants for this relation, the equivariant zeta functions. 
Fabien Priziac (I2M)
math.AG