
## 7. Elliptic Fibrations and F-Theory

1. #### Problem 7.1.

Construct explicit examples of how gauge groups and representations appear from elliptic fibrations.
• #### Problem 7.2.

Is there an intrinsic characterisation of the gauge group arising from the singularities of an elliptic fibration that doesn’t require passing through Dynkin diagrams?
• #### Problem 7.3.

What singularities can elliptic fibrations have in higher codimension?

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