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arxiv: math/0607752 · v1 · pith:OTL5PBVInew · submitted 2006-07-29 · 🧮 math.AG · math.CO

Chern classes of Schubert cells and varieties

classification 🧮 math.AG math.CO
keywords classesschubertvarietiescasecellschernchern-schwartz-macphersonconjecture
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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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