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We derive closed formulas for the Thom polynomials of two families of second order Thom-Boardman singularities . The formulas are given as linear combinations of Schur polynomials, and all coefficients are nonnegative.
We associate to a given polynomial map from to itself with nonvanishing Jacobian a variety whose homology or intersection homology describes the geometry of singularities at infinity of this map.
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