English

Disentanglements of corank 2 map-germs: two examples

Algebraic Geometry 2016-10-06 v1

Abstract

We compute the homology of the multiple point spaces of stable perturbations of two germs (Cn,0)(Cn+1,0)(\mathbb{C}^n,0)\to (\mathbb{C}^{n+1},0) of corank 2, one with n=3n=3 and one with n=5n=5. We use a variety of techniques based on the image computing spectral sequence ICSS. We provide a reasonably detailed introduction to the ICSS, including some low-dimensional examples of its use. The paper is partly expository.

Cite

@article{arxiv.1610.01328,
  title  = {Disentanglements of corank 2 map-germs: two examples},
  author = {David Mond},
  journal= {arXiv preprint arXiv:1610.01328},
  year   = {2016}
}

Comments

22 pages, 1 figure

R2 v1 2026-06-22T16:11:09.754Z