%0 Journal Article %T On the equivariant blow-Nash classification of simple invariant Nash germs %+ Institut de Mathématiques de Marseille (I2M) %A Priziac, Fabien %< avec comité de lecture %@ 0037-9484 %J Bulletin de la société mathématique de France %I Société Mathématique de France %8 2020-06 %D 2020 %Z 1606.00303 %R 10.24033/bsmf.2808 %K simple invariant Nash germs %K equivariant blow-Nash equivalence %K ABCDEF-singularities %K equivariant zeta functions %K equivariant virtual Poincaré series. %Z 2010 Mathematics Subject Classification : 14B05, 14P20, 14P25, 32S15, 57S17, 57S25. %Z Mathematics [math]/Algebraic Geometry [math.AG]Journal articles %X 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. %G English %2 https://hal.science/hal-01324842/document %2 https://hal.science/hal-01324842/file/classinvsimp.pdf %L hal-01324842 %U https://hal.science/hal-01324842 %~ CNRS %~ UNIV-AMU %~ EC-MARSEILLE %~ I2M %~ I2M-2014-