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

zbMATH Open1408.14173arXiv1606.09147MaRDI QIDQ4636067

Takahisa Sasajima, Toru Ohmoto

Publication date: 23 April 2018

Abstract: We study universal polynomials of characteristic classes associated to the $mathcalA$-classification (i.e. up to right-left equivalence) of holomorphic map-germs $(mathbb{C}^2,0)o(mathbb{C}^n,0)$ $(n=2,3)$. 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.

Full work available at URL: https://arxiv.org/abs/1606.09147

zbMATH Keywords

Thom polynomialsingular projectionsenumeration of contactsright-left singularity

Mathematics Subject Classification ID

Characteristic classes and numbers in differential topology (57R20) Singularities of differentiable mappings in differential topology (57R45) Global theory of complex singularities; cohomological properties (32S20) Classical problems, Schubert calculus (14N15)

This page was built for publication: Thom polynomials in $\mathcal{A}$-classification I: counting singular projections of a surface

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q4636067)