Lagrangian fibrations on symplectic fourfolds
Wenhao Ou
TL;DR
This paper establishes that a complex projective irreducible symplectic fourfold can have at most two different bases for its Lagrangian fibrations, limiting the geometric configurations of such fibrations.
Contribution
It proves a new restriction on the bases of Lagrangian fibrations in symplectic fourfolds, a significant step in understanding their geometric structure.
Findings
At most two possible bases for Lagrangian fibrations
Limits on the geometric configurations of symplectic fourfolds
Advances understanding of symplectic geometry in four dimensions
Abstract
We prove that there are at most two possibilities for the base of a Lagrangian fibration from a complex projective irreducible symplectic fourfold.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Geometric and Algebraic Topology · Advanced Algebra and Geometry