2026-09-19T14:26:09Zhttps://dspace.mit.edu/server/oai/requestoai:dspace.mit.edu:1721.1/388852022-01-13T07:54:35Zcom_1721.1_7582com_1721.1_7581col_1721.1_131022
Jason M. Starr.
Lehman, Rebecca C. (Rebecca Colleen)
Massachusetts Institute of Technology. Dept. of Mathematics.
Massachusetts Institute of Technology. Department of Mathematics
2007-09-27T19:31:05Z
2007-09-27T19:31:05Z
2007
2007
http://hdl.handle.net/1721.1/38885
166327280
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2007.
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. 79-81).
The classical Brill-Noether theorems count the dimension of the family of maps from a general curve of genus g to non-degenerate curves of degree d in projective space Pr. These theorems can be extended to include ramification conditions at fixed general points. This thesis deals with the problem of imposing a ramification condition at an unspecified point. We solve the problem completely in dimension 1, prove a closed-form existence criterion and a finiteness result in dimension 2, and provide an existence test and bound the dimension of the family in the general case.
by Rebecca C. Lehman.
Ph.D.
81 p.
eng
Massachusetts Institute of Technology
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.
http://dspace.mit.edu/handle/1721.1/7582
Mathematics.
Brill-Noether-type theorems with a movable ramification point
Thesis
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