ADE bundles over ADE singular surfaces and flag varieties of ADE type

Conan Leung The Chinese University of Hong Kong Yunxia Chen East China Univ of Sci Tech

mathscidoc:1608.01039

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.
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@inproceedings{conanade,
  title={ADE bundles over ADE singular surfaces and flag varieties of ADE type},
  author={Conan Leung, and Yunxia Chen},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160828213701151831516},
}
Conan Leung, and Yunxia Chen. ADE bundles over ADE singular surfaces and flag varieties of ADE type. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160828213701151831516.
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