Geometry of non-degenerate locally tame non-isolated singularities

Abstract

We give a criterion to test geometric properties such as Whitney equisingularity and Thom's $a_f$ condition for new families of (possibly non-isolated) hypersurface singularities that "behave well" with respect to their Newton diagrams. As an important corollary, we obtain that in such families all members have isomorphic Milnor fibrations.

References in corpus (1)

• On the Milnor fibration for $f(z)\bar{g}(z)$ II

Cited by in corpus (1)

• Łojasiewicz exponents of a certain analytic functions