English

Iterated multiple points I: functoriality, defining equations and pathologies

Algebraic Geometry 2018-11-20 v1

Abstract

This is the first of a two-part work on Kleiman's iterated multiple point spaces. We show general properties of these spaces, leading to explicit equations describing them for maps (of any corank) between complex manifolds. We also describe pathologies regarding dimension and lack of symmetry

Keywords

Cite

@article{arxiv.1811.07359,
  title  = {Iterated multiple points I: functoriality, defining equations and pathologies},
  author = {Juan José Nuño Ballesteros and Guillermo Peñafort Sanchis},
  journal= {arXiv preprint arXiv:1811.07359},
  year   = {2018}
}

Comments

38 pages

R2 v1 2026-06-23T05:19:36.813Z