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Publication detail
KUREŠ, M.
Original Title
On elliptic curves with a closed component passing through a hexagon
Type
journal article in Web of Science
Language
English
Original Abstract
In general, there exists an ellipse passing through the vertices of a convex pentagon, but there is no ellipse passing through the vertices of a convex hexagon. Thus, attention is turned to algebraic curves of the third degree, namely to the closed component of certain elliptic curves. This closed curve will be called the spekboom curve. Results of numerical experiments and some hypotheses regarding hexagons of special shape connected with the existence of this curve passing through the vertices are presented and suggested. Some properties of the spekboom curve are described, too.
Keywords
algebraic closed curves, elliptic curve, hexagon
Authors
Released
1. 6. 2019
Publisher
Ovidius University
Location
Constanta
ISBN
1224-1784
Periodical
Analele Stiintifice Ale Universitatii Ovidius Constanta, Seria Matematica
Year of study
27
Number
2
State
Romania
Pages from
67
Pages to
82
Pages count
16
URL
http://www.anstuocmath.ro/mathematics/anale2019vol2/03_Kures.pdf
Full text in the Digital Library
http://hdl.handle.net/11012/178355
BibTex
@article{BUT157202, author="Miroslav {Kureš}", title="On elliptic curves with a closed component passing through a hexagon", journal="Analele Stiintifice Ale Universitatii Ovidius Constanta, Seria Matematica", year="2019", volume="27", number="2", pages="67--82", doi="10.2478/auom-2019-0019", issn="1224-1784", url="http://www.anstuocmath.ro/mathematics/anale2019vol2/03_Kures.pdf" }