Affine ADE bundles over surfaces with $$ p _{g}=0$$ |
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| Authors: | Yunxia Chen Naichung Conan Leung |
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| Institution: | 1.School of Science,East China University of Science and Technology,Shanghai,China;2.Department of Mathematics, The Institute of Mathematical Sciences,The Chinese University of Hong Kong,Shatin,Hong Kong |
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| Abstract: | Given any Kodaira curve C in a complex surface X, we construct a simply-laced affine Lie algebra bundle \(\mathcal {E}\) over X. When \( p _{g}(X)=0\), we construct deformations of holomorphic structures on \(\mathcal {E}\) such that the new bundle is trivial over any ADE curve \( C^{\prime }\) inside C and therefore descends to the singular surface obtained by contracting \(C^{\prime }\). |
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