W-translated Schubert divisors and transversal intersections  

作　　者：DongSeon Hwang Hwayoung Lee Jae-Hyouk Lee Changzheng Li 

机构地区：[1]Department of Mathematics,Ajou University,Suwon 443-749,Republic of Korea [2]Department of Mathematics,University of California,Riverside,Riverside,CA 92521,USA [3]Department of Mathematics,Ewha Womans University,Seoul 120-750,Republic of Korea [4]School of Mathematics,Sun Yat-sen University,Guangzhou 510275,China

出　　处：《Science China Mathematics》2022年第10期1997-2018,共22页中国科学：数学（英文版）

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);supported by National Natural Science Foundation of China (Grant Nos. 11771455, 11822113 and 11831017);Guangdong Introducing Innovative and Enterpreneurial Teams (Grant No. 2017ZT07X355)。

摘　　要：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).

关 键 词：W-translated Schubert varieties transversal intersection Gelfand-Cetlin polytope toric degeneration flag varieties 

分 类 号：O15[理学—数学]