The ordinary component of l-isogeny graph of elliptic curves

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 ;