Geodesic
Mirror symmetry and Hitchin system on Deligne–Mumford curves: Strominger–Yau–Zaslow duality
Canadian journal of mathematics, Tome 77 (2025) no. 5, pp. 1488-1545

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DOI

We systematically study the moduli stacks of Higgs bundles, spectral curves, and Norm maps on 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.
DOI : 10.4153/S0008414X24000439
Mots-clés : Higgs bundles, DM curves, SYZ duality 
Huang, Yonghong. Mirror symmetry and Hitchin system on Deligne–Mumford curves: Strominger–Yau–Zaslow duality. Canadian journal of mathematics, Tome 77 (2025) no. 5, pp. 1488-1545. doi: 10.4153/S0008414X24000439
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     author = {Huang, Yonghong},
     title = {Mirror symmetry and {Hitchin} system on {Deligne{\textendash}Mumford} curves: {Strominger{\textendash}Yau{\textendash}Zaslow} duality},
     journal = {Canadian journal of mathematics},
     pages = {1488--1545},
     year = {2025},
     volume = {77},
     number = {5},
     doi = {10.4153/S0008414X24000439},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008414X24000439/}
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