New Developments in Singularity Theory (Hardcover, 2001)

Preface. Part A: Singularities of real maps. Classifications in Singularity Theory and Their Applications; J.W. Bruce. Applications of Flag Contact Singularities; V. Zakalyukin. On Stokes Sets; Y. Baryshnikov. Resolutions of discriminants and topology of their complements; V. Vassiliev. Classifying Spaces of Singularities and Thom Polynomials; M. Kazarian. Singularities and Noncommutative Geometry; J.-P. Brasselet. Part B: Singular complex varieties. The Geometry of Families of Singular Curves; G.-M. Greuel, C. Lossen. On the preparation theorem for subanalytic functions; A. Parusinski. Computing Hodge-theoretic invariants of singularities; M. Schulze, J. Steenbrink. Frobenius manifolds and variance of the spectral numbers; C. Hertling. Monodromy and Hodge Theory of Regular Functions; A. Dimca. Bifurcations and topology of meromorphic germs; S. Gusein-Zade, et al. Unitary reflection groups and automorphisms of simple hypersurface singularities; V.V. Goryunov. Simple Singularities and Complex Reflections; P. Slodowy. Part C: Singularities of holomorphic maps. Discriminants, vector fields and singular hypersurfaces; A.A. du Plessis, C.T.C. Wall. The theory of integral closure of ideals and modules: Applications and new developments; T. Gaffney. Nonlinear Sections of Nonisolated Complete Intersections; J. Damon. The Vanishing Topology of Non Isolated Singularities; D. Siersma.