Abstract
ABSTRACTWe 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 subsequently verified for n = 7, 8. A comparison between Bott–Samelson resolutions and blow-ups is also provided.
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