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W-translated Schubert divisors and transversal intersections
- Title
- W-translated Schubert divisors and transversal intersections
- Authors
- Hwang D.S.; Lee H.; Lee J.-H.; Li C.
- Ewha Authors
- 이재혁
- SCOPUS Author ID
- 이재혁
- Issue Date
- 2022
- Journal Title
- Science China Mathematics
- ISSN
- 1674-7283
- Citation
- Science China Mathematics vol. 65, no. 10, pp. 1997 - 2018
- Keywords
- 14M15; 14M25; 14N15; flag varieties; Gelfand-Cetlin polytope; toric degeneration; transversal intersection; W-translated Schubert varieties
- Publisher
- Science Press (China)
- Indexed
- SCIE; SCOPUS
- Document Type
- Article
- 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. © 2022, Science China Press and Springer-Verlag GmbH Germany, part of Springer Nature.
- DOI
- 10.1007/s11425-021-1940-6
- Appears in Collections:
- 자연과학대학 > 수학전공 > Journal papers
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