Lagrangian fibrations
Daniel Huybrechts, Mirko Mauri
TL;DR
This paper reviews the theory of Lagrangian fibrations on hyperk"ahler manifolds, covering foundational work and recent developments, with alternative perspectives and additional insights.
Contribution
It provides a comprehensive overview of Lagrangian fibrations, including recent advancements and alternative approaches in the field.
Findings
Summarizes key results in Lagrangian fibrations of hyperk"ahler manifolds.
Discusses recent work by Shen-Yin and Harder-Li-Shen-Yin.
Provides alternative arguments and additional observations.
Abstract
We review the theory of Lagrangian fibrations of hyperk\"ahler manifolds as initiated by Matsushita. We also discuss more recent work of Shen-Yin and Harder-Li-Shen-Yin. Occasionally, we give alternative arguments and complement the discussion by additional observations.
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Taxonomy
TopicsGeometry and complex manifolds · Geometric Analysis and Curvature Flows · Algebraic Geometry and Number Theory