MEGA 2007 Effective Methods in Algebraic Geometry Strobl, Austria, June 25th - 29th http://www.ricam.oeaw.ac.at/mega2007

Abstract

Title	An algebraic version of a theorem of Whitney
Keywords	resultant, discrtiminant, factorisation, irreducible component, singularity
Abstract	A well-known result of H. Whitney asserts that the singularities of the projection of the apparent contour of a generic surface onto a plane are cusps corresponding to a pleat, a double point corresponding to two transversal folds. We connected this property with iterative univariate resultant constructions for multivariate polynomials. We consider the input polynomials as generic polynomials of a given degree and exhibit explicit decomposition into irreducible factors of several constructions involving two times iterated univariate resultants and discriminants over the integer universal ring of coefficients of the entry polynomials.

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