2026-09-20T04:40:36Zhttps://dspace.mit.edu/server/oai/requestoai:dspace.mit.edu:1721.1/346862022-01-13T07:54:35Zcom_1721.1_7582com_1721.1_7581col_1721.1_131022
Gang Tian.
Kamenova, Ljudmila K
Massachusetts Institute of Technology. Dept. of Mathematics.
Massachusetts Institute of Technology. Department of Mathematics
2006-11-07T17:27:03Z
2006-11-07T17:27:03Z
2006
2006
http://hdl.handle.net/1721.1/34686
71331311
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2006.
This electronic version was submitted by the student author. The certified thesis is available in the Institute Archives and Special Collections.
Includes bibliographical references (p. 41-42).
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.
by Ljudmila K. Kamenova.
Ph.D.
42 p.
206471 bytes
203062 bytes
application/pdf
application/pdf
eng
Massachusetts Institute of Technology
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http://dspace.mit.edu/handle/1721.1/7582
Mathematics.
Hyper-Kaehler fibrations and Hilbert schemes
Hyper-Kähler fibrations and Hilbert schemes
Thesis
application/pdf
Publication
unknown
unknown
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