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.
|Original language||English (US)|
|Number of pages||14|
|Journal||Journal of Algebraic Geometry|
|State||Published - 2016|
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory
- Geometry and Topology