Finiteness of stable Lagrangian fibrations
Ljudmila Kamenova
TL;DR
This paper surveys finiteness results for deformation classes of hyperkähler Lagrangian fibrations and proves finiteness for stable Lagrangian fibrations with a specified discriminant divisor.
Contribution
It establishes a finiteness result for stable Lagrangian fibrations with a fixed discriminant divisor, extending previous deformation class results.
Findings
Finiteness of deformation classes of hyperkähler Lagrangian fibrations
Finiteness for stable Lagrangian fibrations with a given discriminant divisor
Survey of existing finiteness results
Abstract
In this paper we survey some finiteness results of the deformation classes of hyperk\"ahler Lagrangian fibrations, and we prove finiteness for stable Lagrangian fibrations with a given discriminant divisor.
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Taxonomy
TopicsNonlinear Waves and Solitons · Advanced Differential Equations and Dynamical Systems · Fibroblast Growth Factor Research