W-translated Schubert divisors and transversal intersections
Algebraic Geometry
2021-12-24 v2
Abstract
We study the toric degeneration of Weyl group translated Schubert divisors of a partial flag variety of Lie type A via Gelfand-Cetlin polytopes. We propose a conjecture that Schubert varieties of appropriate dimensions intersect transversally up to translation by Weyl group elements, and verify it in various cases, including complex Grassmannian Gr(2, n) and complete flag variety Fl_4.
Cite
@article{arxiv.2106.08716,
title = {W-translated Schubert divisors and transversal intersections},
author = {DongSeon Hwang and Hwayoung Lee and Jae-Hyouk Lee and Changzheng Li},
journal= {arXiv preprint arXiv:2106.08716},
year = {2021}
}
Comments
26 pages, 10 figures. Accepted for publication in SCIENCE CHINA Mathematics