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

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 o...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2017-01
Main Authors: Sasajima, Takahisa, Ohmoto, Toru
Format: Article
Language:English
Subjects:
Classification
Polynomials
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.1606.09147