English

Hirzebruch-Milnor classes of complete intersections

Algebraic Geometry 2013-03-07 v5

Abstract

We prove a new formula for the Hirzebruch-Milnor classes of global complete intersections with arbitrary singularities describing the difference between the Hirzebruch classes and the virtual ones. This generalizes a formula for the Chern-Milnor classes in the hypersurface case that was conjectured by S. Yokura and was proved by A. Parusinski and P. Pragacz. It also generalizes a formula of J. Seade and T. Suwa for the Chern-Milnor classes of complete intersections with isolated singularities.

Keywords

Cite

@article{arxiv.1205.6447,
  title  = {Hirzebruch-Milnor classes of complete intersections},
  author = {Laurentiu Maxim and Morihiko Saito and Joerg Schuermann},
  journal= {arXiv preprint arXiv:1205.6447},
  year   = {2013}
}

Comments

23 pages

R2 v1 2026-06-21T21:11:03.816Z