Tools for CICYs in F-theory

Understand

We provide a set of tools for analyzing the geometry of elliptically fibered Calabi-Yau manifolds, starting with a description of the total space rather than with a Weierstrass model or a specified type of fiber/base.

• Such an approach to the subject of F-theory compactification makes certain geometric properties, which are usually hidden, manifest.
• Specifically, we review how to isolate genus-one fibrations in such geometries and then describe how to find their sections explicitly.
• This includes a full parameterization of the Mordell-Weil group where non-trivial.