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Some combinatorial aspects of generalised Bott-Samelson varieties

Algebraic Geometry 2019-10-15 v1 Combinatorics

Abstract

We obtain two combinatorial results: an equality of Weyl groups and an inequality of roots, in the setting of generalised Bott-Samelson resolutions of minuscule Schubert varieties. These results are used in the companion paper [BK19] to describe minimal rational curves on these resolutions, and their relation to lines on the Schubert varieties.

Keywords

Cite

@article{arxiv.1910.06208,
  title  = {Some combinatorial aspects of generalised Bott-Samelson varieties},
  author = {Michel Brion and S. Senthamarai Kannan},
  journal= {arXiv preprint arXiv:1910.06208},
  year   = {2019}
}

Comments

22 pages

R2 v1 2026-06-23T11:43:07.919Z