He provides all the necessary prerequisites for graduate students and practitioners, describing Riemann surfaces (including coverings, analytical continuation, and Puiseaux expansion), holomorphic functions of several variables (including analytic sets
and analytic set
germs as well as regular and singular points of analytic sets
), isolated singularities of holomorphic functions (including isolated critical points and the universal unfolding), fundamentals of differential topology (including singular homology groups and linking numbers), and the topology of singularities (including the Picard-Lefschetz theorem, the Milnor fibration, the Coxeter-Dynkin diagram, the Selfert form and the action of the braid group.
If [H.sup.2]([Omega], Z) = 0 and [Mathematical Expression Omitted] is a privileged Bergman submodule of [Mathematical Expression Omitted], then there exists a unique pivileged Bergman submodule S which is isomorphic with [Mathematical Expression Omitted] and so that [S.sup.[perpendicular]] is supported by an analytic set
of codimension at least 2 in [Omega].