The motivic real Milnor fibres

Goulwen Fichou (1)

1 IRMAR - Institut de Recherche Mathématique de Rennes

Given a polynomial with real coefficients, we produce a motivic analog of a simple identity that relates the complex conjugation and the monodromy of the Milnor fibre of its complexification. To that purpose, we introduce motivic Zeta functions that take into account complex conjugation and monodromy.

Domaines: Géométrie algébrique [math.AG]

Goulwen Fichou. The motivic real Milnor fibres. Manuscripta mathematica, 2012, 139 (1-2), pp.167-178. ⟨10.1007/s00229-011-0511-4⟩. ⟨hal-00569823⟩