Double points and image of reflection maps
Algebraic Geometry
2024-07-09 v2
Abstract
A reflection mapping is a singular holomorphic mapping obtained by restricting the quotient mapping of a complex reflection group. We study the analytic structure of double point spaces of reflection mappings. In the case where the image is a hypersurface, we obtain explicit equations for the double point space and for the image as well. In the case of surfaces in , this gives a very efficient method to compute the Milnor number and delta invariant of the double point curve.
Cite
@article{arxiv.2312.06792,
title = {Double points and image of reflection maps},
author = {Jose Rafael Borges Zampiva and Guillermo Penafort-Sanchis and Bruna Orefice-Okamoto and Joao Nivaldo Tomazella},
journal= {arXiv preprint arXiv:2312.06792},
year = {2024}
}