Strict Bott-Samelson Resolutions of Schubert Varieties

@article{Silva2019StrictBR,
  title={Strict Bott-Samelson Resolutions of Schubert Varieties},
  author={Sergio Da Silva},
  journal={Exp. Math.},
  year={2019},
  volume={28},
  pages={313-321}
}
We explore the relationship between two desingularization techniques for Schubert varieties. The Bott-Samelson resolution is the more common of the two, but it fails to encompass many properties that Hironaka resolutions provide, in particular, being an isomorphism over the smooth locus. Using a computer search, a list of cases where Bott-Samelson resolutions having this "strictness" property is compiled for the $n=5,6$ cases. A conjecture based on these results is formulated and is… 
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