2026-09-20T01:59:35Zhttps://dspace.mit.edu/server/oai/requestoai:dspace.mit.edu:1721.1/288262022-01-13T07:54:35Zcom_1721.1_7582com_1721.1_7581col_1721.1_131022
Aise Johan de Jong.
Hønsen, Morten Oskar, 1973-
Massachusetts Institute of Technology. Dept. of Mathematics.
Massachusetts Institute of Technology. Department of Mathematics
2005-09-27T18:33:32Z
2005-09-27T18:33:32Z
2004
2004
http://hdl.handle.net/1721.1/28826
60351837
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2004.
Includes bibliographical references (p. 57-59).
We define a moduli functor parametrizing finite maps from a projective (locally) Cohen-Macaulay curve to a fixed projective space. The definition of the functor includes a number of technical conditions, but the most important is that the map is almost everywhere an isomorphism onto its image. The motivation for this definition comes from trying to interpolate between the Hilbert scheme and the Kontsevich mapping space. The main result of this thesis is that our functor is represented by a proper algebraic space. As an application we obtain interesting compactifications of the spaces of smooth curves in projective space. We illustrate this in the case of rational quartics, where the resulting space appears easier than the Hilbert scheme.
by Morten Oskar Hønsen.
Ph.D.
59 p.
2324962 bytes
2330137 bytes
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Massachusetts Institute of Technology
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http://dspace.mit.edu/handle/1721.1/7582
Mathematics.
A compact moduli space for Cohen-Macaulay curves in projective space
Thesis
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