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arXiv · 1606.09147

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

Takahisa Sasajima·Toru Ohmoto
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Abstract

We study universal polynomials of characteristic classes associated to the $\mathcal{A}$-classification (i.e. up to right-left equivalence) of holomorphic map-germs $(\mathbb{C}^2,0) \to (\mathbb{C}^n, 0)$ $(n=2,3)$. That enables us to systematically treat with classical enumerative problems of lines of prescribed contact with a given projective surface in $3$ and $4$-spaces.

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Takahisa Sasajima, Toru Ohmoto. 2016-06-29. Thom polynomials in $\mathcal{A}$-classification I: counting singular projections of a surface. https://doi.org/10.4171/182

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