Title of the course: Introduction on mixed hypersurface singularity
Instructor: Prof. Mutsuo Oka
Institution: Tokyo University of Science
Dates: 20-26 January 2020
Prerequisites: Linear Algebra, holomorphic function of one variable (not a must but preferable).
Level: Graduate
Abstract: In this lecture series, I introduce the basic of mixed hypersurface singularity. A mixed polynomial is a polynomial which contains z_1,…,z_n and also their conjugates z_1,…,z_n. Hypersurace defined by {f=0} involves much wider class of geometry. We introduce the notion of Newton boundary, non-degeneracy and local Milnor fibration.
Textbook:
1. M.Oka, Non-degenerate mixed functions, Kodai J. Math. 33 (1), 1-62,2010
2. J. Milnor, Singular points of complex hypersurfaces, Annals of Math. Studies 61, Princeton , N.J., 1968
Language: EN