W -translated Schubert divisors and transversal intersections

We study the toric degeneration of Weyl group translated Schubert divisors of a partial flag variety Fℓ _n_1, …,n_k;n 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 the complex Grassmannian Gr (2, n ) and the complete flag variety Fℓ 1,2,3,4 .