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G-bundles over elliptic curves for
non-simply laced Lie groups and configurations of lines in
rational surfaces
Mang Xu and Jiajin Zhang |
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Vol. 261 (2013), No. 2, 497–510
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Abstract |
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We study the relation between the moduli space of flat G-bundles over a fixed elliptic curve Σ and the moduli space of rational surfaces with G-configurations containing Σ as a fixed anticanonical curve, where G is a non-simply laced, compact, simple and simply connected Lie group. Our method is to reduce G to a simply laced maximal subgroup G′. |
Keywords
G-bundle, rational surface,
elliptic curve
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Mathematical Subject Classification 2010
Primary: 14J26
Secondary: 17B10, 14H60
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Milestones
Received: 25 September 2011
Accepted: 21 August 2012
Published: 20 March 2013
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Authors |
| Mang Xu | |
| Department of Mathematics Southwest Jiaotong University Chengdu, 610031 China |
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| Jiajin Zhang | |
| Department of Mathematics Sichuan University Chengdu, 610065 China |
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