Singularities of plane model of the modular curve Yo(l)

Files

B043943.pdf (2 MB)

Date

1998-08

Authors

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Supervisor

Klyachko, Alexander

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Instructor

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Pages

Language

English

Type

Thesis

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Abstract

In this work, we have described the singularities of plane model of Z subscript 0 (l) of the modular curve Yo (l) in a field of both characteristic 0 and positive characteristic p>3 for prime l's not equal to p. Also, we have counted the number of those singularities.

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Book Title

Keywords

Modular curve , Elliptic curve , Sogeny , Endomorphism ring , Singularity , Self intersection , Supersingular elliptic curve , Reduction , Lifting , Cusp

Degree Discipline

Mathematics

Degree Level

Master's

Degree Name

MS (Master of Science)

Citation

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http://hdl.handle.net/11693/18012

Published Version (Please cite this version)

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Graduate School of Engineering and Science