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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2020-10-01
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| 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 |