Irreducibility of analytic arc-sections of hypersurface singularities
Algebraic Geometry
2019-04-02 v1
Abstract
We explore the existence of irreducible and reducible arc-sections in an irreducible hypersurface singularity germ along finite projections. In particular we provide examples of irreducible isolated hypersurface singularities for which no irreducible arc-sections exist, and show that reducible ones always exist. Moreover, we give an algorithm to check if a given projection allows irreducible arc-sections, and find them if they exist.
Keywords
Cite
@article{arxiv.1904.00298,
title = {Irreducibility of analytic arc-sections of hypersurface singularities},
author = {Miguel Angel Marco-Buzunariz and Maria Pe Pereira},
journal= {arXiv preprint arXiv:1904.00298},
year = {2019}
}
Comments
13 pages, 2 figures