On mixed singularities and their Milnor fibrations

Algebra/Geometry/Topology Seminar

by Mutsuo Oka

Institution: Tokyo University of Science
Date: Mon 16th March 2009
Time: 2:15 PM
Location: David Caro Building, Room 211

Abstract: Mixed functions are analytic functions in variables $z_1,\dots, z_n$ and their conjugates $\bar z_1,\dots, \bar z_n$. We introduce the notion of Newton non-degeneracy for mixed functions and develop a basic tool for the study of mixed hypersurface singularities. We show the existence of a canonical resolution of the singularity, and the existence of the Milnor fibration under the strong non-degeneracy condition.