In this memoir, we calculate the Jordan form of the monodromy of surface superisolated singularities, using mixed Hodge structure. The main step in this computation is to present explicitly an embedded resolution for this family. The topology of these singularities is sufficient…
Introduction Preliminaries The fractional step scheme The Riemann problem step The ODE step Estimates for the ODE step Analysis of the approximate solutions The elimination of assumptions Convergence.
Almost free divisors and complete intersections form a general class of nonisolated hypersurface and completer intersection singularities. They also include discriminants of mappings, bifurcation sets, and certain types of arrangements of hyperplanes such as Coxeter arrangements…
In this power we show how to compute the parameter space [italic capital]X for the versal deformation of an isolated singularity ([italic capital]V, 0) under the assumptions [italic]dim [italic capital]V [greater than or equal to symbol] 4, depth {₀} [italic capital]V [greater t…
"The book provides an introduction to the theory of functions of several complex variables and their singularities, with special emphasis on topological aspects. The topics include Riemann surfaces, holomorphic functions of several variables, classification and deformation of si…
This book is aimed at researchers and students in physics, mathematics, and engineering. It contains a systematic presentation of a general approach to the integration of singularly perturbed differential equations describing nonuniform transitions, such as the occurrence of a b…
This book describes and gives applications of an important new tool in the study of complex analytic hypersurface singularities: the L cycles of the hypersurface. The L cycles and their multiplicities - the L numbers - provide effectively calculable data which generalizes the Mi…