Complex Lagrangians in a hyperKähler manifold and the relative Albanese

Let M be the moduli space of complex Lagrangian submanifolds of a hyperKähler manifold X, and let ω̄ : 𝒜̂ → M be the relative Albanese over M. We prove that 𝒜̂ has a natural holomorphic symplectic structure. The projection ω̄ defines a completely integrable structure on the symplectic manifold 𝒜̂. I...

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Bibliographic Details
Main Authors: Biswas Indranil, Gómez Tomás L., Oliveira André
Format: Article
Language:English
Published: De Gruyter 2020-10-01
Series:Complex Manifolds
Subjects:
Online Access:http://www.degruyter.com/view/j/coma.2020.7.issue-1/coma-2020-0106/coma-2020-0106.xml?format=INT