Geometry of non-degenerate locally tame non-isolated singularities

2020/05/04 by Christophe Eyral, Eyral, Christophe, Mutsuo Oka +1 · 1 citation
Mathematics · #Algebraic Geometry and Number Theory #Geometric and Algebraic Topology #Commutative Algebra and Its Applications

paper · pdf · doi:10.48550/arxiv.2005.01416

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.

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