Dissertation/Thesis Abstract

On Some Geometric and Algebraic Properties of The Holm Elliptic Curves
by Algarni, Aziza Mohammd, M.S., Howard University, 2019, 67; 13883031
Abstract (Summary)

Following the directions given in [4] for the Weierstras model


we study the case of Holm model 


Geometric and algebraic properties are explored with the goal of laying a background to prove results on

i) The degree of an endomorphism

ii) The separability of an endomorphism.

Although the directions to follow are the same as in the case of the Weierstrass model, the proofs are different and more involved because of the nature of the Holm model.

The main theorems concerning endomorphisms of the Holm model are obtained.

Indexing (document details)
Advisor: Ramaroson, Francois
Commitee: Drumm, Tedd, Sitaraman, Sankar
School: Howard University
Department: Mathematics
School Location: United States -- District of Columbia
Source: MAI 58/05M(E), Masters Abstracts International
Subjects: Mathematics
Publication Number: 13883031
ISBN: 978-1-392-16980-3
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