{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,4]],"date-time":"2022-04-04T02:26:56Z","timestamp":1649039216610},"reference-count":0,"publisher":"Walter de Gruyter GmbH","issue":"1","license":[{"start":{"date-parts":[[2020,10,27]],"date-time":"2020-10-27T00:00:00Z","timestamp":1603756800000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2020,10,27]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>Let <jats:italic>M<\/jats:italic> be the moduli space of complex Lagrangian submanifolds of a hyperK\u00e4hler manifold <jats:italic>X<\/jats:italic>, and let \u03c9\u0304 : \ud835\udc9c\u0302 \u2192 <jats:italic>M<\/jats:italic> be the relative Albanese over <jats:italic>M<\/jats:italic>. We prove that \ud835\udc9c\u0302 has a natural holomorphic symplectic structure. The projection \u03c9\u0304 defines a completely integrable structure on the symplectic manifold \ud835\udc9c\u0302. In particular, the fibers of \u03c9\u0304 are complex Lagrangians with respect to the symplectic form on \ud835\udc9c\u0302. We also prove analogous results for the relative Picard over <jats:italic>M<\/jats:italic>.<\/jats:p>","DOI":"10.1515\/coma-2020-0106","type":"journal-article","created":{"date-parts":[[2020,11,3]],"date-time":"2020-11-03T15:22:26Z","timestamp":1604416946000},"page":"230-240","source":"Crossref","is-referenced-by-count":0,"title":["Complex Lagrangians in a hyperK\u00e4hler manifold and the relative Albanese"],"prefix":"10.1515","volume":"7","author":[{"given":"Indranil","family":"Biswas","sequence":"first","affiliation":[{"name":"School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai400005, India"}]},{"given":"Tom\u00e1s L.","family":"G\u00f3mez","sequence":"additional","affiliation":[{"name":"Instituto de Ciencias Matem\u00e1ticas (CSIC-UAM-UC3M-UCM), Nicol\u00e1s Cabrera 15, Campus Cantoblanco UAM, 28049Madrid, Spain"}]},{"given":"Andr\u00e9","family":"Oliveira","sequence":"additional","affiliation":[{"name":"Centro de Matem\u00e1tica da Universidade do Porto (CMUP), Faculdade de Ci\u00eancias, Rua do Campo Alegre, 687, 4169-007Porto, Portugal, On leave from: Departamento de Matem\u00e1tica, Universidade de Tr\u00e1s-os-Montes e Alto Douro, UTAD, Quinta dos Prados, 5000-911 Vila Real, Portugal \/ agoliv@utad.pt"}]}],"member":"374","container-title":["Complex Manifolds"],"original-title":[],"link":[{"URL":"https:\/\/www.degruyter.com\/view\/journals\/coma\/7\/1\/article-p230.xml","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/downloadpdf\/journals\/coma\/7\/1\/article-p230.xml","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,2,28]],"date-time":"2021-02-28T03:13:13Z","timestamp":1614481993000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/coma-2020-0106\/html"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,10,27]]},"references-count":0,"journal-issue":{"issue":"1"},"URL":"https:\/\/doi.org\/10.1515\/coma-2020-0106","relation":{},"ISSN":["2300-7443"],"issn-type":[{"value":"2300-7443","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,10,27]]}}}