
## 4. Meromorphic Hitchin systems and Calabi-Yau integrable systems

1. #### Problem 4.1.

Give a geometric realisation of a meromorphic Hitchin system of type A or D using a non-compact Calabi-Yau.
• #### Problem 4.2.

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