W-translated Schubert divisors and transversal intersections

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

Research output: Contribution to journalArticlepeer-review

Abstract

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
JournalScience China Mathematics
DOIs
StateAccepted/In press - 2022

Keywords

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

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