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Hyper-Kaehler fibrations and Hilbert schemes
| dc.contributor.advisor | Gang Tian. | en_US |
| dc.contributor.author | Kamenova, Ljudmila K | en_US |
| dc.contributor.other | Massachusetts Institute of Technology. Dept. of Mathematics. | en_US |
| dc.date.accessioned | 2006-11-07T17:27:03Z | |
| dc.date.available | 2006-11-07T17:27:03Z | |
| dc.date.copyright | 2006 | en_US |
| dc.date.issued | 2006 | en_US |
| dc.identifier.uri | http://hdl.handle.net/1721.1/34686 | |
| dc.description | Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2006. | en_US |
| dc.description | This electronic version was submitted by the student author. The certified thesis is available in the Institute Archives and Special Collections. | en_US |
| dc.description | Includes bibliographical references (p. 41-42). | en_US |
| dc.description.abstract | In this thesis, I consider hyper-Kähler manifolds of complex dimension 4 which are fibrations. It is known that the fibers are abelian varieties and the base is P2. We assume that the general fiber is isomorphic to a product of two elliptic curves. We are able to relate this class of hyper-Kähler fibrations to already known examples. We prove that such a hyper-Kähler manifold is deformation equivalent to a Hilbert scheme of two points on a K3 surface. | en_US |
| dc.description.statementofresponsibility | by Ljudmila K. Kamenova. | en_US |
| dc.format.extent | 42 p. | en_US |
| dc.format.extent | 206471 bytes | |
| dc.format.extent | 203062 bytes | |
| dc.format.mimetype | application/pdf | |
| dc.format.mimetype | application/pdf | |
| dc.language.iso | eng | en_US |
| dc.publisher | Massachusetts Institute of Technology | en_US |
| dc.rights | M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission. | en_US |
| dc.rights.uri | http://dspace.mit.edu/handle/1721.1/7582 | |
| dc.subject | Mathematics. | en_US |
| dc.title | Hyper-Kaehler fibrations and Hilbert schemes | en_US |
| dc.title.alternative | Hyper-Kähler fibrations and Hilbert schemes | en_US |
| dc.type | Thesis | en_US |
| dc.description.degree | Ph.D. | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | |
| dc.identifier.oclc | 71331311 | en_US |
