Strict Bott-Samelson Resolutions of Schubert Varieties
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 cases. A conjecture based on these results is formulated and is subsequently verified for . A comparison between Bott-Samelson resolutions and blow-ups is also provided.
Cite
@article{arxiv.1702.03468,
title = {Strict Bott-Samelson Resolutions of Schubert Varieties},
author = {Sergio Da Silva},
journal= {arXiv preprint arXiv:1702.03468},
year = {2018}
}
Comments
18 pages; Sage code included in ancillary file; Accepted for publication in Experimental Mathematics; Revised version includes new content relating this work to known research. It also includes updated computer results