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Neighborhood germs of compact riemann surfaces / Yen-chi Roger Lin.

LIBRA Diss. POPM2000.227
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LIBRA QA001 2000 .L735
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LIBRA microfilm P38: 2000
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Format:
Book
Manuscript
Microformat
Thesis/Dissertation
Author/Creator:
Lin, Yen-chi Roger.
Contributor:
Epstein, Charles L., 1957- advisor.
University of Pennsylvania.
Language:
English
Subjects (All):
Penn dissertations--Mathematics.
Mathematics--Penn dissertations.
Local Subjects:
Penn dissertations--Mathematics.
Mathematics--Penn dissertations.
Physical Description:
v, 41 pages ; 29 cm
Production:
2000.
Summary:
The moduli problem for germs of codimension one, smooth embeddings of a compact Riemann surface of general type with a fixed positive line bundle as the normal bundle is studied in this thesis. We first find the formal tangent space of the moduli space of deformation tensors at the origin and first order extensible CR-deformations on the circle bundle, then make a one-to-one correspondence between these objects. At the end, formal normal forms of full deformation tensors are constructed in the HNR case.
Notes:
Supervisor: Charles L. Epstein.
Thesis (Ph.D. in Mathematics) -- University of Pennsylvania, 2000.
Includes bibliographical references and index.
Local Notes:
University Microfilms order no.: 99-76448.
OCLC:
244972221

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