Positivity of Chern classes of Schubert cells and varieties

Abstract

We show that the Chern-Schwartz-MacPherson class of a Schubert cell in a Grassmannian is represented by a reduced and irreducible subvariety in each degree. This gives an affirmative answer to a positivity conjecture of Aluffi and Mihalcea.

arXiv commentImproved readability, 18 pages

References in corpus (1)

• Rigidity and quasi-rigidity of extremal cycles in Hermitian symmetric spaces

Cited by in corpus (2)

• Computing equivariant characteristic classes of singular varieties
• Equivariant Hirzebruch class for singular varieties