$\boldsymbol{ADE}$ Bundles Over $\boldsymbol{ADE}$ Singular Surfaces and Flag Varieties of $\boldsymbol{ADE}$ Type. (20th February 2017)

• Record Type: Journal Article
• Authors: Chen, Yunxia; Leung, Naichung Conan
• Is Part Of: International mathematics research notices. Volume 2018:Number 13(2018)
• Page Start: 3941
• Page End: 3958
• Publication Date: 2017-02-20
• Subjects: Mathematics -- Periodicals; 510
• DOI: 10.1093/imrn/rnx011
• Languages: English
• ISSNs: 1073-7928

Abstract

Abstract: 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.