Chern classes of Schubert cells and varieties

Mathematics – Algebraic Geometry

Scientific paper

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31 pages, several figures

Scientific paper

10.1090/S1056-3911-08-00482-7

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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