English

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

Algebraic Geometry 2018-11-08 v1

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 ADEADE singular surfaces. The main tool is the cohomology of line bundles over flag varieties and their cotangent bundles.

Keywords

Cite

@article{arxiv.1811.02777,
  title  = {$ADE$ bundles over $ADE$ singular surfaces and flag varieties of $ADE$ type},
  author = {Yunxia Chen and Naichung Conan Leung},
  journal= {arXiv preprint arXiv:1811.02777},
  year   = {2018}
}