Chern classes of Schubert cells and varieties

By Paolo Aluffi, Leonardo Constantin Mihalcea. 2006

46 citations recorded by the source corpus.

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 d ≤ 2.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/0ec9122729904d940d3855f23432fa525ea2994c

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Discrete Mathematics and Combinatorics

1. Leonardo C.Mihalcea
2. Joerg Schuermann
3. C. Joanna Su
4. Paolo Aluffi

In Geometry and Topology

1. Leonardo C.Mihalcea
2. Joerg Schuermann
3. C. Joanna Su
4. Paolo Aluffi
5. Eric Katz

In Mathematical Physics

1. Leonardo C.Mihalcea
2. Joerg Schuermann
3. C. Joanna Su
4. Paolo Aluffi
5. Eric Katz

Citations in the corpus

• Shadows of characteristic cycles, Verma modules, and positivity of Chern–Schwartz–MacPherson classes of Schubert cells (2017, methodology): “Huh [25] for the Grassmannian case (in turn proving an earlier conjecture posed in [4]).”