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

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B043943.pdf (2 MB)

Date

1998-08

Authors

Kara, Orhun

Editor(s)

Advisor

Supervisor

Klyachko, Alexander

Co-Advisor

Co-Supervisor

Instructor

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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)

Collections

Graduate School of Engineering and Science

Language

English

Type

Thesis