Some combinatorial aspects of generalised Bott-Samelson varieties

Published 14 Oct 2019 in math.AG and math.CO | (1910.06208v1)

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.

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