Thom polynomials and Schur funcions: the singularities $A_3(-)$

Mathematics – Algebraic Geometry

Scientific paper

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18 pages; Preprint RIMS Kyoto No.1638 (2008)

Scientific paper

Combining the "method of restriction equations" of Rim\'anyi et al. with the
techniques of symmetric functions, we establish the Schur function expansions
of the Thom polynomials for the Morin singularities $A_3: ({\bf
C}^{\bullet},0)\to ({\bf C}^{\bullet + k},0)$ for any nonnegative integer $k$.

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