Much progress has been made recently in a number of areas by the application of new geometrical methods arising from advances in singularity theory. This collection of invited papers presented at the 3rd International Workshop on Real and Complex Singularities, held in August 1994 at ICMSC-USP (Sao Carlos), documents the geometric study of singularities and its applications.

Real rational quartic curves
Stability properties of the inverse mapping domain
The polyhedron of equisingularity of germs of hypersurfaces
Singular surfaces in 3-manifolds, the tangent developable of a space curve, and the dual of an immersed surface in 3-space
An infinite number of counter-examples to a conjecture on stems
Nash structures of equivariant smooth manifolds and equivariant smooth vector bundles
Local classifications of multi-valued solutions of quasilinear first order partial differential equations
Equisingularity of plane sections, t1 condition and the integral closure of modules
Knot diagrams and braid theories in dimension 4
Families of surfaces: height functions, Gauss maps, and duals
Cr-sufficiency of quasihomogeneous functions
Poincar morphism and divisors of compact toric varieties
Singularities of Euler equations and implicit Hamilton equations

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