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Chern classes of Schubert cells and varieties

Paolo Aluffi·Leonardo Constantin Mihalcea
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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 (very) small values of $d$.

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Paolo Aluffi, Leonardo Constantin Mihalcea. 2006-07-29. Chern classes of Schubert cells and varieties. https://doi.org/10.1090/s1056-3911-08-00482-7

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