Positivity of Chern classes of Schubert cells and varieties (1302.5852v3)

Published 23 Feb 2013 in math.AG and math.CO

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.