Abstract
In this paper 100 hyperelliptic curve equations are studied with varying
coefficients. Random polynomial equations with even degree of 64 and the
interpolation variants of cubic curves like elliptic curve, Ochoa curve,
Mordell curve, projection, birational transformation, Conchoid of de
Sluze, Maltese cross curve, Semicubical Parabola, Tschirnhausen Cubic,
Right Strophoid, Strophoid, studied in paper - â\euro˜Abyss and Game
of Polynomials and Coefficients : Algebraic Cubic And Elliptic
Curvesâ\euro™ are equated in the hyperelliptic curve equation and 372
plots obtained are submitted.Â
The aim of this study is to see if the hyperelliptic equation is equated
with the cubic interpolated equations which are of order 4th, 6th or
10th degree( of the cubic polynomial ) , what they transform into -
elliptic curves, or hyperelliptic curves remain preserved or how much
shape or the geometry remains preserved?