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On the projective normality of an embedding of the moduli space of stable marked rational curves into projective space

Abstract:

We study an embedding of the fine moduli space of stable rational curves with n marked points into projective space for each n > 4. This embedding is developed from work of A. Gibney and D. Maclagan. It is related to the embedding given by the log canonical system, which is shown to be projectively normal in a paper by S. Keel and J. Tevelev using methods in sheaf cohomology. In this thesis, we prove the projective normality of our embedding for n = 5 and n = 6 using combinatorial methods. Fr...

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Division:
MPLS
Department:
Mathematical Institute
Role:
Author

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Supervisor
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Name:
Engineering and Physical Sciences Research Council
Funder identifier:
http://dx.doi.org/10.13039/501100000266
Type of award:
MSc by Research
Level of award:
Masters
Awarding institution:
University of Oxford

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