Singular open book structures from real mappings

Mihai Tibar (1) , Ying Chen (1) , Raimundo N. Araújo dos Santos (2)

1 LPP - Laboratoire Paul Painlevé - UMR 8524
2 ICMC-USP - Instituto de Ciências Mathemàticas e de Computação [São Carlos]

We prove extensions of Milnor's theorem for germs with nonisolated singularity and use them to find new classes of genuine real analytic mappings $\psi$ with positive dimensional singular locus $\Sing \psi \subset \psi^{-1}(0)$, for which the Milnor fibration exists and yields an open book structure with singular binding.

Domaines: Géométrie algébrique [math.AG]; Variables complexes [math.CV]

Mihai Tibar, Ying Chen, Raimundo N. Araújo dos Santos. Singular open book structures from real mappings. Cent. Eur. J. Math., 2013, 11 (5), pp.817-828. ⟨hal-00568156⟩