# Thom polynomials in $\mathcal A$-classification I: counting singular projections of a surface

• ### Toru Ohmoto

Hokkaido University, Sapporo, Japan
• ### Takahisa Sasajima

Kyoto, Japan

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## Abstract

We study universal polynomials of characteristic classes associated to the $\mathcal A$-classification of map-germs $(\mathbb C^2,0) \to (\mathbb C^n, 0)$ $(n=2,3)$, that enable us to systematically generalize enumerative formulae in classical algebraic geometry of projective surfaces in 3 and 4-spaces.