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math.AGJul 29, 2006
26
citations (OpenAlex)
authors
  • Paolo Aluffi
  • Leonardo Constantin Mihalcea
institutions
  • Duke University
  • Florida State University
arXiv abstractPDF
paper

Chern classes of Schubert cells and varieties

arXiv:math/0607752 · doi:10.1090/S1056-3911-08-00482-7

Abstract

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

31 pages, several figures

References in corpus (1)

  • Classes de Chern des varietes singulieres, revisitees

Cited by in corpus (10)

  • Shadows of characteristic cycles, Verma modules, and positivity of Chern-Schwartz-MacPherson classes of Schubert cells
  • Motivic Chern classes and K-theoretic stable envelopes
  • Grothendieck classes and Chern classes of hyperplane arrangements
  • Chern-Schwartz-MacPherson classes for Schubert cells in flag manifolds
  • Chern-Schwartz-MacPherson classes of degeneracy loci
  • The Chern-Schwartz-MacPherson class of an embeddable scheme
  • The arc space of the Grassmannian
  • Quantum field theory over F1
  • From motivic Chern classes of Schubert cells to their Hirzebruch and CSM classes
  • The Uniqueness Theorem for Gysin Coherent Characteristic Classes of Singular Spaces
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