English

Chern classes of Schubert cells and varieties

Algebraic Geometry 2012-04-11 v1 Combinatorics

Abstract

We give explicit formulas for the Chern-Schwartz-MacPherson classes of all Schubert varieties in the Grassmannian of dd-planes in a vector space, and conjecture that these classes are effective. We prove this is the case for (very) small values of dd.

Keywords

Cite

@article{arxiv.math/0607752,
  title  = {Chern classes of Schubert cells and varieties},
  author = {Paolo Aluffi and Leonardo Constantin Mihalcea},
  journal= {arXiv preprint arXiv:math/0607752},
  year   = {2012}
}

Comments

31 pages, several figures

R2 v1 2026-07-22T17:39:45.807Z