Isotrivial elliptic K3 surfaces and Lagrangian fibrations
Algebraic Geometry
2014-06-06 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1406.1233,
title = {Isotrivial elliptic K3 surfaces and Lagrangian fibrations},
author = {Justin Sawon},
journal= {arXiv preprint arXiv:1406.1233},
year = {2014}
}
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17 pages