Milnor-Hamm sphere fibrations and the equivalence problem

Abstract

We introduce the sphere fibration for real map germs with radial discriminant and we address the problem of its equivalence with the Milnor-Hamm tube fibration. Under natural conditions, we prove the existence of open book structures with singularities and solve the equivalence problem.

arXiv commentupdated references before publication

References in corpus (7)

• Real map germs and higher open books
• Fibrations of highly singular map germs
• Thom irregularity and Milnor tube fibrations
• Singular open book structures from real mappings
• Equivalence of real Milnor's fibrations for quasi homogeneous singularities
• Images of analytic map germs, and singular fibrations
• Bifurcation values of families of real curves

Cited by in corpus (4)

• On singular maps with local fibration
• Milnor Fiber Consistency via Flatness
• Lipschitz Geometry of Mixed Pham-Brieskorn Singularities
• Some remarks about $\rho$-regularity for real analytic maps