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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.
Table of Contents
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 Poincaré morphism and divisors of compact toric varieties Singularities of Euler equations and implicit Hamilton equations
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CHOICE – Outstanding Academic Title – Award Winner
CHOICE – 2018 Outstanding Academic Title – Award Winner
Shingo Research and Professional Publication Award Winner
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