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
Pages (from-to)1997-2018
Number of pages22
JournalScience China Mathematics
Volume65
Issue number10
DOIs
StatePublished - Oct 2022

Keywords

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

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