This is a survey of the main directions in the theory of deformations of complex spaces. It
touches on related questions: deformations of maps, cohomology of algebras, topology of …

From the very beginning, algebraic topology has developed under the influence of the
problems posed by trying to understand the topological properties of complex algebraic …

Singularity theory is a field of intensive study in modern mathematics with fascinating
relations to algebraic geometry, complex analysis, commutative algebra, representation …

Singularity theory is not a field in itself, but rather an application of algebraic geometry,
analytic geometry and differential analysis. The adjective'singular'in the title refers here to …

The Milnor number and deformations of complex curve singularities Page 1 lnventiones math.
58, 241-281 (1980) Irlventio~es mathematicae ~) by Springer-Verlag 1980 The Milnor Number …

From the reviews:"... My general impression is of a particularly nice book, with a well-
balanced bibliography, recommended!" Mededelingen van Het Wiskundig Genootschap …

The base space of a semiuniversal unfolding of a hypersurface singularity carries a rich
geometry. By work of K. Saito and M. Saito it can be equipped with the structure of a …

Vector fields on manifolds play a major role in mathematics and other sciences. In particular,
the Poincaré-Hopf index theorem gives rise to the theory of Chern classes, key manifold …

To each isolated hypersurface singularity one can associate a sequence of pa rational
numbers, called its spectrum. Here pu is the Milnor number of the singularity.(cf.[M]). The …

O. Resultate 0. t. Sei (X, x)<(IE% x) der Keim eines n-dimensionaten komplexen Raumes mit
isolierter Singularit~ it. Es sei BcIt?" eine hinreichend kleine, offene Kugel mit Zentrum x und …