Chern classes of Schubert cells and varieties

Aluffi, Paolo; Mihalcea, Leonardo

doi:10.1090/S1056-3911-08-00482-7

Authors: Paolo Aluffi and Leonardo Constantin Mihalcea
Journal: J. Algebraic Geom. 18 (2009), 63-100
DOI: https://doi.org/10.1090/S1056-3911-08-00482-7
Published electronically: March 17, 2008
MathSciNet review: 2448279
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Abstract | References | Additional Information

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 $d\le 2$.

References

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Additional Information

Paolo Aluffi
Affiliation: Department of Mathematics, Florida State University, Tallahassee, Florida 32306
MR Author ID: 265422
Email: aluffi@math.fsu.edu

Leonardo Constantin Mihalcea
Affiliation: Department of Mathematics, Florida State University, Tallahassee, Florida 32306
Address at time of publication: Department of Mathematics, Duke University, Durham, North Carolina 27708-0320
Email: lmihalce@math.duke.edu

Received by editor(s): October 7, 2006
Received by editor(s) in revised form: March 2, 2007
Published electronically: March 17, 2008