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4. Meromorphic Hitchin systems and Calabi-Yau integrable systems


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      Problem 4.1.

      Give a geometric realisation of a meromorphic Hitchin system of type A or D using a non-compact Calabi-Yau.


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          Problem 4.2.

          Extend this realisation over the elliptic part of the singular locus.


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              Problem 4.3.

              For local $\mathbb{P}^2$/quintic/others we have the Donagi-Markman system (for local $\mathbb{P}^2$ this is on the mirror curve). Can it be realised as a Hitchin integrable system?

                  Cite this as: AimPL: Singular geometry and Higgs bundles in string theory, available at http://aimpl.org/singularhiggs.