Strict Bott-Samelson Resolutions of Schubert Varieties release_fzbjwqq7qzad3ijfiqlppwfys4

by Sergio Da Silva

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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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Date   2017-02-11
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Language   en ?
arXiv  1702.03468v1
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