论文标题

DM曲线上的镜像对称和Hitchin系统:SYZ二元性

Mirror symmetry and Hitchin systems on DM curves: SYZ Duality

论文作者

Huang, Yonghong

论文摘要

我们将希格斯束,光谱曲线和规范图的经典理论推广到山符号曲线。作为一种应用,在某些温和条件下,我们证明了希格斯捆绑的模量捆绑曲线的strominger-yau-zaslow二重性。

We generalize the classical theory of Higgs bundles, spectral curves and Norm maps to Deligne-Mumford curves. As an application, under some mild conditions, we prove the Strominger-Yau-Zaslow duality for the moduli spaces of Higgs bundles over a hyperbolic stacky curve.

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