2009/08/12 by Naichung Conan Leung, Leung, Naichung Conan, Jiajin Zhang +1
Engineering · Mathematics · Social Sciences · #14H60 #14J26 #Advanced Numerical Analysis Techniques #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Vietnamese History and Culture Studies #math.AG #msc:14H60 #msc:14J26
paper · pdf · doi:10.48550/arxiv.0908.1645
To appear in International Mathematics Research Notices
arxiv created 2009/08/12 · openalex publication_date 2009/08/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
For any non-simply laced Lie group G and elliptic curve Σ, we show that the moduli space of flat G bundles over Σ can be identified with the moduli space of rational surfaces with G-configurations which contain Σ as an anti-canonical curve. We also construct Lie(G)-bundles over these surfaces. The corresponding results for simply laced groups were obtained by the authors in another paper. Thus we have established a natural identification for these two kinds of moduli spaces for any Lie group G.