Toric degenerations of Schubert varieties

@article{Caldero2000ToricDO,
  title={Toric degenerations of Schubert varieties},
  author={Philippe Caldero},
  journal={Transformation Groups},
  year={2000},
  volume={7},
  pages={51-60}
}
  • P. Caldero
  • Published 2000
  • Mathematics
  • Transformation Groups
LetG be a simply connected semisimple complex algebraic group. We prove that every Schubert variety ofG has a flat degeneration into a toric variety. This provides a generalization of results of [9], [7], [6]. Our basic tool is Lusztig's canonical basis and the string parametrization of this basis. 
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