English

On Milnor classes via invariants of singular subschemes

Algebraic Geometry 2013-11-19 v2

Abstract

We derive a formula for the Milnor class of scheme-theoretic global complete intersections (with arbitrary singularities) in a smooth variety in terms of the Segre class of its singular scheme. In codimension one the formula recovers a formula of Aluffi for the Milnor class of a hypersurface.

Keywords

Cite

@article{arxiv.1310.2370,
  title  = {On Milnor classes via invariants of singular subschemes},
  author = {James Fullwood},
  journal= {arXiv preprint arXiv:1310.2370},
  year   = {2013}
}