On elliptic curves with a closed component passing through a hexagon

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F19%3APU132254" target="_blank" >RIV/00216305:26210/19:PU132254 - isvavai.cz</a>
Result on the web
<a href="http://www.anstuocmath.ro/mathematics/anale2019vol2/03_Kures.pdf" target="_blank" >http://www.anstuocmath.ro/mathematics/anale2019vol2/03_Kures.pdf</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.2478/auom-2019-0019" target="_blank" >10.2478/auom-2019-0019</a>

Result language
angličtina
Original language name
On elliptic curves with a closed component passing through a hexagon
Original language description
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.
Czech name
—
Czech description
—

Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical
Analele Stiintifice Ale Universitatii Ovidius Constanta, Seria Matematica
ISSN
1224-1784
e-ISSN
1844-0835
Volume of the periodical
27
Issue of the periodical within the volume
2
Country of publishing house
RO - ROMANIA
Number of pages
16
Pages from-to
67-82
UT code for WoS article
000488224500004
EID of the result in the Scopus database
2-s2.0-85073877503

Similar results(10)