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arXiv · 0804.0202

Singular Chern Classes of Schubert Varieties via Small Resolution

Benjamin F. Jones
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Abstract

We discuss a method for calculating the Chern-Schwartz-MacPherson (CSM) class of a Schubert variety in the Grassmannian using small resolutions introduced by Zelevinsky. As a consequence, we show how to compute the Chern-Mather class and local Euler obstructions using small resolutions instead of the Nash blowup. The algorithm obtained for CSM classes also allows us to prove new cases of a positivity conjecture of Aluffi and Mihalcea.

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Benjamin F. Jones. 2009-03-22. Singular Chern Classes of Schubert Varieties via Small Resolution. https://doi.org/10.1093/imrn%2Frnp174

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