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arXiv · 2106.08716

W-translated Schubert divisors and transversal intersections

DongSeon Hwang·Hwayoung Lee·Jae-Hyouk Lee·Changzheng Li
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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.

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DongSeon Hwang, Hwayoung Lee, Jae-Hyouk Lee, Changzheng Li. 2021-06-16. W-translated Schubert divisors and transversal intersections. https://arxiv.org/abs/2106.08716

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