English

Join theorem for real analytic singularities

Algebraic Geometry 2020-02-18 v1 Geometric Topology

Abstract

Let f_1 and f_2 be real analytic germs of independent variables. In this paper, we assume that f_1, f_2 and f = f_1 + f_2 satisfy a_f -condition. Then we show that the tubular Milnor fiber of f is homotopy equivalent to the join of tubular Milnor fibers of f_1 and f_2.

Cite

@article{arxiv.2002.06549,
  title  = {Join theorem for real analytic singularities},
  author = {Kazumasa Inaba},
  journal= {arXiv preprint arXiv:2002.06549},
  year   = {2020}
}

Comments

12 pages

R2 v1 2026-06-23T13:43:03.086Z