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Local torsion on elliptic curves

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Local torsion on elliptic curves

Grabowski, Colin (2010) Local torsion on elliptic curves. Masters thesis, Concordia University.

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Abstract

Let E be an elliptic curve over [Special characters omitted.] . Let p be a prime of good reduction for E. We say that p is a local torsion prime if E has p -torsion over [Special characters omitted.] , and more generally, we say that p is a local torsion prime of degree d if E has p -torsion over an extension of degree d of [Special characters omitted.] . We study in this thesis local torsion primes by presenting numerical evidence, and by computing estimates for the number of local torsion primes on average over all elliptic curves over [Special characters omitted.]

Divisions:Concordia University > Faculty of Arts and Science > Mathematics and Statistics
Item Type:Thesis (Masters)
Authors:Grabowski, Colin
Pagination:iii, 71 leaves : ill. ; 29 cm.
Institution:Concordia University
Degree Name:M. Sc.
Program:Mathematics
Date:2010
ID Code:979198
Deposited By: Concordia University Library
Deposited On:09 Dec 2014 17:55
Last Modified:18 Jan 2018 17:48
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