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Symmetry, Integrability and Geometry: Methods and Applications, 2022, Volume 18, 087, 21 pp.
DOI: https://doi.org/10.3842/SIGMA.2022.087 (Mi sigma1883) 		 
ADE Bundles over Surfaces

Yunxia Chena, Naichung Conan Leungb

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
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DOI: https://doi.org/10.3842/SIGMA.2022.087
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.
Funding agency Grant number
Research Grants Council of the Hong Kong Special Administrative Region, China CUHK14301619
CUHK14306720
CUHK CUHK4053400
Natural Science Foundation of Shanghai 19ZR1411700
The work of N. Leung described in this paper was substantially supported by grants from the Research Grants Council of the Hong Kong Special Administrative Region, China (Project No. CUHK14301619 and CUHK14306720) and a direct grant from CUHK (Project No. CUHK4053400). The work of Y.X. Chen described in this paper was supported by Natural Science Foundation of Shanghai (No.19ZR1411700).
Received: March 7, 2022; in final form October 21, 2022; Published online November 5, 2022
Bibliographic databases:
Document Type: Article
MSC: 53C10, 14H60
Language: English
Citation: Yunxia Chen, Naichung Conan Leung, “ADE Bundles over Surfaces”, SIGMA, 18 (2022), 087, 21 pp.
Citation in format AMSBIB
\Bibitem{CheLeu22}
\by Yunxia~Chen, Naichung~Conan~Leung
\paper ADE Bundles over Surfaces
\jour SIGMA
\yr 2022
\vol 18
\papernumber 087
\totalpages 21
\mathnet{http://mi.mathnet.ru/sigma1883}
\crossref{https://doi.org/10.3842/SIGMA.2022.087}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4504452}
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