On the singular Chern classes of Schubert varieties via small resolution

@inproceedings{Jones2009OnTS,
  title={On the singular Chern classes of Schubert varieties via small resolution},
  author={Benjamin Franklin Jones},
  year={2009}
}
  • Benjamin Franklin Jones
  • Published 2009
  • Mathematics
  • 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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