Corpus ID: 235446994

W-translated Schubert divisors and transversal intersections

  title={W-translated Schubert divisors and transversal intersections},
  author={Dongseon Hwang and Hwayoung Lee and Jae-Hyouk Lee and Changzheng Li},
We study the toric degeneration of Weyl group translated Schubert divisors of a partial flag variety F`n1,n2,··· ,nk;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 complex Grassmannian Gr(2, n) and complete flag variety F`1,2,3;4. 

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