文献类型：期刊文献

英文题名：ADE Bundles Over ADE Singular Surfaces and Flag Varieties of ADE Type

作者：Chen, Yunxia[1];Leung, Naichung Conan[2,3]

机构：[1]East China Univ Sci & Technol, Sch Sci, Meilong Rd 130, Shanghai, Peoples R China;[2]Chinese Univ Hong Kong, Inst Math Sci, Shatin, Hong Kong, Peoples R China;[3]Chinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R China

年份：2018

卷号：2018

期号：13

起止页码：3941

外文期刊名：INTERNATIONAL MATHEMATICS RESEARCH NOTICES

收录：;EI(收录号：20200101402);WOS:【SCI-EXPANDED(收录号:WOS:000441676600001)】；

基金：The first author is supported by the National Natural Science Foundation of China (No. 11501201), the China Postdoctoral Science Foundation (No. 2015M570334) and the Fundamental Research Funds for the Central Universities under project no. 222201514322. The second author is supported by a research grant from the Research Grants Council of the Hong Kong Special Administrative Region, China (No. 2130405).

语种：英文

摘要：Based on the Brieskorn-Slodowy-Grothendieck diagram, we write the holomorphic structures (or filtrations) of the ADE Lie algebra bundles over the corresponding type ADE flag varieties, over the cotangent bundles of these flag varieties, and over the corresponding type ADE singular surfaces. The main tool is the cohomology of line bundles over flag varieties and their cotangent bundles.