2018/12/28 by Mutsuo Oka, Oka, Mutsuo
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology
paper · pdf · doi:10.48550/arxiv.1812.10909
openalex publication_date 2018/12/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider a mixed function of type H(\mathbf z, \mathbf z)=f(\mathbf z) g(\mathbf z) where f and g are convenient holomorphic functions which have isolated critical points at the origin and we assume that the intersection f=g=0 is a complete intersection variety with an isolated singlarity at theorigin. We assume also that H satisfies the multiplicity condition.We will show that H has a tubular Milnor fibration and also a spherical Milnor fibration. We give examples which does not satisfy the Newton multiplicity condition where one does not have Milnor fibration and the others have Milnor fibrations.