Arşiv ve Dokümantasyon Merkezi
Dijital Arşivi

The ordinary component of l-isogeny graph of elliptic curves

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dc.contributor Graduate Program in Mathematics.
dc.contributor.advisor Özman, Ekin.
dc.contributor.author Kaytancı, Kübra.
dc.date.accessioned 2023-03-16T11:21:44Z
dc.date.available 2023-03-16T11:21:44Z
dc.date.issued 2017.
dc.identifier.other MATH 2017 K38
dc.identifier.uri http://digitalarchive.boun.edu.tr/handle/123456789/15298
dc.description.abstract In this thesis, our aim is to understand `-volcanoes which are ordinary compo nents of `-isogeny graphs of elliptic curves over finite fields under certain conditions. In 1996, the structure of isogeny graphs of elliptic curves described by David Kohel in his PhD thesis [1]. Later, in 2002 Mireille Fouquet and Francois Morain extended Kohel’s work by defining isogeny volcanoes [2]. Firstly, we give some basic definitions and tools as used throughout this thesis. Then we study the Kohel’s theorem and give a 3-volcano of depth 2 over F409 as an example.
dc.format.extent 30 cm.
dc.publisher Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2017.
dc.subject.lcsh Curves, Elliptic.
dc.title The ordinary component of l-isogeny graph of elliptic curves
dc.format.pages x, 59 leaves ;


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