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Dessins d’enfants and genus zero actions Duong, Linh Ton
Abstract
A Dessin D'Enfant is a cellular map on a Riemann surface ramified over {0, 1, ∞}. We will describe Grothendieck's correspondence between the set of isomorphism classes of dessins and the set of ismorphism classes of algebraic curves defined over Q. We also describe the action of the Galois group of the algebraic numbers, Gal(Q/Q), on the dessins. Finally, we also talk about groups that admit genus zero actions on Riemann surfaces and investigate the nature of Belyi functions on these Riemann surfaces.
Item Metadata
Title |
Dessins d’enfants and genus zero actions
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Creator | |
Publisher |
University of British Columbia
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Date Issued |
1999
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Description |
A Dessin D'Enfant is a cellular map on a Riemann surface ramified over
{0, 1, ∞}. We will describe Grothendieck's correspondence between the set
of isomorphism classes of dessins and the set of ismorphism classes of algebraic
curves defined over Q. We also describe the action of the Galois group of
the algebraic numbers, Gal(Q/Q), on the dessins. Finally, we also talk about
groups that admit genus zero actions on Riemann surfaces and investigate
the nature of Belyi functions on these Riemann surfaces.
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Extent |
3337137 bytes
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Genre | |
Type | |
File Format |
application/pdf
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Language |
eng
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Date Available |
2009-06-25
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Provider |
Vancouver : University of British Columbia Library
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Rights |
For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.
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DOI |
10.14288/1.0080080
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URI | |
Degree | |
Program | |
Affiliation | |
Degree Grantor |
University of British Columbia
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Graduation Date |
1999-11
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Campus | |
Scholarly Level |
Graduate
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Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.