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arXiv 0712.0163math.AG
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SL的Hitchin Prym覆盖的分支(2)

Branching of Hitchin's Prym cover for SL(2)

Constantin Teleman

摘要:

证明了从谱曲线的雅可比矩阵到秩为2的稳定丛的模的映射是沿一个不可约因子的一般简单分支。这一观察结果证伪了最近一篇论文中提出的“SU(2)WZW连接的阿贝尔化”的关键步骤[Yoshida,Annals 2006]

英文摘要:

It is shown that the map from the Jacobian of the spectral curve to the moduli of stable bundles of rank 2 is generically simply branched along an irreducible divisor. This observation falsifies the key step in the "abelianization of the SU(2) WZW connection" presented in a recent paper [Yoshida, Annals 2006]

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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