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 …

Теория особенностей дифференцируемых отображений—бурно развивающаяся
область современной математики, являющаяся грандиозным обобщением …

The total number of such permutations is equal to (n—1)(«—2)/2. Some of them are rotations
(isomorphic to the addition of a constant to the residues modn). But it is not clear what …

0.1. H. Kn/Srrer [Kn6] showed the following property of the local ring R of an isolated simple
hypersurface singularity: There are only finitely many isomorphism classes of …

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

This book describes and gives applications of an important new tool in the study of complex
analytic hypersurface singularities: the Lê cycles of the hypersurface. The Lê cycles and …

ONE of the most striking features of the theory of singularities of analytic functions f:(Z:“, O)-
+(2.0) is the ubiquity of the Milnor number p= dim: O,/(~.? f/dz,,.., dj/&,>. Not only is its …

Let f: X-+ Y be a finite analytic map. The purpose of this paper is to find a good choice of
analytic structure for the set Mk (f) of points in Y whose preimage consists of k or more …

I include a complete proof of this result in this survey article. My emphasis lies on the
conscruction of maximal Cohen-Macaulay modules via matrix factorizations (section 2), from …

Many results about the topology of complex hypersurface singularities have a Hodge-
theoretic counterpart. The monodromy theorem for isolated singularities combined with the …