On the equivariant blow-Nash classification of simple invariant Nash germs

Fabien Priziac (1)

1 I2M - Institut de Mathématiques de Marseille

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.

Mots clés: simple invariant Nash germs; equivariant blow-Nash equivalence; ABCDEF-singularities; equivariant zeta functions; equivariant virtual Poincaré series.

Domaines: Géométrie algébrique [math.AG]

Fabien Priziac. On the equivariant blow-Nash classification of simple invariant Nash germs. Bulletin de la société mathématique de France, 2020, ⟨10.24033/bsmf.2808⟩. ⟨hal-01324842⟩