Please use this identifier to cite or link to this item: http://hdl.handle.net/10348/10215
Title: Complex Lagrangians in a hyperKaehler manifold and the relative Albanese
Authors: Biswas, Indranil
Gómez, Tomas
Oliveira, Andre Gama
Keywords: research subject categories
mathematics
algebra
geometry and mathematical analysis
Issue Date: 2020
Abstract: Let 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.
URI: http://hdl.handle.net/10348/10215
Document Type: Article
Appears in Collections:DMAT - Artigo Técnico em Revistas Internacional



FacebookTwitterDeliciousLinkedInDiggGoogle BookmarksMySpace
Formato BibTex mendeley Endnote Logotipo do DeGóis Logotipo do Orcid 

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.