Paul-Konstantin Oehlmann (DESY)
We give further evidence that genus-one fibers with multi-sections are mirror dual to fibers with Mordell-Weil torsion. In the physics of F-theory compactifications this implies a relation between models with a non-simply connected gauge group and those with discrete symmetries. We explicitly check this observation for torus fibers in two and three dimensional ambient spaces whereas the duality admits a combinatorial explanation for the first case. We comment on several new features of these models, such as self-dual fibers that realize models with quotient and discrete symmetries at the same time.