Yunxia Chen, Naichung Conan Leung, “ADE Bundles over Surfaces”, SIGMA, 2022, Volume 18,087, 21 pp.

ADE Bundles over Surfaces

Yunxia Chen^a, Naichung Conan Leung^b

^a School of Mathematics, East China University of Science and Technology, Meilong Road 130, Shanghai, China
^b The Institute of Mathematical Sciences and Department of Mathematics, The Chinese University of Hong Kong, Shatin, N.T., Hong Kong

Abstract: This is a review paper about ADE bundles over surfaces. Based on the deep connections between the geometry of surfaces and ADE Lie theory, we construct the corresponding ADE bundles over surfaces and study some related problems.

Keywords: ADE bundles, surfaces, Cox ring.

MSC: 53C10, 14H60

Received: March 7, 2022; in final form October 21, 2022; Published online November 5, 2022

Language: English

DOI: 10.3842/SIGMA.2022.087