Isotrivial elliptic K3 surfaces and Lagrangian fibrations

Justin Sawon

Isotrivial elliptic K3 surfaces and Lagrangian fibrations

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arxiv 1406.1233 v1 pith:7WNWIBUJ submitted 2014-06-04 math.AG

Justin Sawon This is my paper · ORCID

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keywords isotrivialfibrationslagrangianellipticsurfacesadmitclassifyconstruct

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A fibration is said to be isotrivial if all of its smooth fibres are isomorphic to a single fixed variety. We classify the elliptic K3 surfaces that are isotrivial, and use them to construct Lagrangian fibrations that are isotrivial. We then modify the construction to produce new examples of holomorphic symplectic orbifolds, that also admit isotrivial Lagrangian fibrations.

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Orientifolds for F-theory on K3 Surfaces
hep-th 2025-01 conditional novelty 6.0 of 10

A rank-17 lattice-polarized family of K3 surfaces is shown to degenerate to Kummer surfaces whose string limits realize the three O-plane charge spectra (+,+,+,+), (+,+,-,-), and (+,+,+,-).

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