W-translated Schubert divisors and transversal intersections

Dong Seon Hwang, Hwayoung Lee, Jae Hyouk Lee, Changzheng Li

Research output: Contribution to journalArticlepeer-review


We study the toric degeneration of Weyl group translated Schubert divisors of a partial flag variety Fℓn1,…,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 the complex Grassmannian Gr(2, n) and the complete flag variety Fℓ1,2,3,4.

Original languageEnglish
Pages (from-to)1997-2018
Number of pages22
JournalScience China Mathematics
Issue number10
StatePublished - Oct 2022


  • 14M15
  • 14M25
  • 14N15
  • Gelfand-Cetlin polytope
  • W-translated Schubert varieties
  • flag varieties
  • toric degeneration
  • transversal intersection


Dive into the research topics of 'W-translated Schubert divisors and transversal intersections'. Together they form a unique fingerprint.

Cite this