Year: 2025
Type: preprint
Abstract: Let $M$ be a compact hyperkahler manifold equipped with a Lagrangian fibration $π:\; M \to X$, and $M'$ the smooth locus of $π$. We prove that over a complement to a codimension $\geq 2$ subset in $X$, the projection $π:\; M' \to X$ has a natural structure of a torsor over an abelian group bundle, which can be understood as a complex analytic variant of the Néron model construction. This gives an independent proof of a result by Y.-J. Kim.
Source: arXiv (Cornell University)
Authors: Kamenova, Ljudmila, Verbitsky, Misha
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4415315328
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