Publication detail

On elliptic curves with a closed component passing through a hexagon

KUREŠ, M.

English title

On elliptic curves with a closed component passing through a hexagon

Type

WoS Article

Language

en

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 in English

algebraic closed curves, elliptic curve, hexagon

Released

2019-06-01

Publisher

Ovidius University

Location

Constanta

ISSN

1224-1784

Journal

Analele Universităţii "Ovidius" Constanţa. Seria Matematică

Volume

27

Number

2

Pages from–to

67–82

Pages count

16

BIBTEX


@article{BUT157202,
  author="Miroslav {Kureš}",
  title="On elliptic curves with a closed component passing through a hexagon",
  journal="Analele Universităţii {"}Ovidius{"} Constanţa. Seria Matematică",
  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"
}