Complex Lagrangians in a hyperKaehler manifold and the relative Albanese

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dc.contributor.authorBiswas, Indranilpt_PT
dc.contributor.authorGómez, Tomaspt_PT
dc.contributor.authorOliveira, Andre Gamapt_PT
dc.date.accessioned2020-10-28T14:41:48Z
dc.date.available2020-10-28T14:41:48Z
dc.date.issued2020
dc.description.abstractLet M be the moduli space of complex Lagrangian submanifolds of a hyperKähler manifold X, and let A→ M be the relative Albanese over M. We prove that A has a natural holomorphic symplectic structure. The projection onto M defines a completely integrable structure on the symplectic manifold A. In particular, the fibers are complex Lagrangians with respect to the symplectic form on A. We also prove analogous results for the relative Picard over M.pt_PT
dc.identifier.urihttp://hdl.handle.net/10348/10215
dc.language.isoengpt_PT
dc.rightsopen accesspt_PT
dc.subjectresearch subject categoriespt_PT
dc.subjectmathematicspt_PT
dc.subjectalgebrapt_PT
dc.subjectgeometry and mathematical analysispt_PT
dc.titleComplex Lagrangians in a hyperKaehler manifold and the relative Albanesept_PT
dc.typejournal articlept_PT
dspace.entity.typePublicationen
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