dc.contributor.author | Gong, Xianghong | |
dc.date.accessioned | 2018-08-15T12:44:18Z | |
dc.date.available | 2018-08-15T12:44:18Z | |
dc.date.issued | 2001 | |
dc.identifier | oksd_gong_levi-flatinvari_2001 | |
dc.identifier.citation | Gong, X. (2001). Levi-flat invariant sets of holomorphic symplectic mappings. Annales de l'Institut Fourier, 51(1), 151-208. https://doi.org/10.5802/aif.1820 | |
dc.identifier.uri | https://hdl.handle.net/11244/301405 | |
dc.description.abstract | We classify four families of Levi-flat sets which are defined by quadratic polynomials and invariant under certain linear holomorphic symplectic maps. The normalization of Levi- flat real analytic sets is studied through the technique of Segre varieties. The main purpose of this paper is to apply the Levi-flat sets to the study of convergence of Birkhoff's normalization for holomorphic symplectic maps. We also establish some relationships between Levi-flat invariant sets and first-integrals or meromorphic eigenfunctions of such maps. The results obtained for holomorphic symplectic maps are also applicable to holomorphic Hamiltonian systems via time-one maps. | |
dc.format | application/pdf | |
dc.language | en_US | |
dc.language | fr_FR | |
dc.publisher | Association des Annales de l'Institut Fourier | |
dc.rights | This material has been previously published. In the Oklahoma State University Library's institutional repository this version is made available through the open access principles and the terms of agreement/consent between the author(s) and the publisher. The permission policy on the use, reproduction or distribution of the material falls under fair use for educational, scholarship, and research purposes. Contact Digital Resources and Discovery Services at lib-dls@okstate.edu or 405-744-9161 for further information. | |
dc.title | Levi-flat invariant sets of holomorphic symplectic mappings | |
osu.filename | oksd_gong_levi-flatinvari_2001.pdf | |
dc.description.peerreview | Peer reviewed | |
dc.identifier.doi | 10.5802/aif.1820 | |
dc.description.department | Mathematics | |
dc.type.genre | Article | |
dc.type.material | Text | |
dc.subject.keywords | levi-flat set | |
dc.subject.keywords | segre variety | |
dc.subject.keywords | holomorphic symplectic map | |
dc.subject.keywords | birkhoff normal form | |