We study the toric degeneration of Weyl group translated Schubert divisors of a partial flag variety F?_(n1,...,nk;n) via Gelfand-Cetlin polytopes. We propose a conjecture that Schubert varieties of appropriate dimens...We study the toric degeneration of Weyl group translated Schubert divisors of a partial flag variety F?_(n1,...,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 F?_(1,2,3;4).展开更多
基金supported by the Samsung Science and Technology Foundation(Grant No. SSTF-BA1602-03)supported by the National Research Foundation of Korea (Grant No. NRF-2019R1F1A1058962)+1 种基金supported by National Natural Science Foundation of China (Grant Nos. 11771455, 11822113 and 11831017)Guangdong Introducing Innovative and Enterpreneurial Teams (Grant No. 2017ZT07X355)。
文摘We study the toric degeneration of Weyl group translated Schubert divisors of a partial flag variety F?_(n1,...,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 F?_(1,2,3;4).
