Strict Bott-Samelson Resolutions of Schubert Varieties
release_rev_b74e69f9-6efb-4cec-93e4-7e8d8bc08809
by
Sergio Da Silva
2017
Abstract
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 subsequently verified for n=7,8. A
comparison between Bott-Samelson resolutions and blow-ups is also provided.
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1702.03468v1
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