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…
One Citation
On the Gorensteinization of Schubert Varieties via Boundary Divisors
- Mathematics
- 2018
We will describe a one-step "Gorensteinization" process for a Schubert variety by blowing-up along its boundary divisor. The local question involves Kazhdan-Lusztig varieties which can be degenerated…
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