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Abyss and Game of Polynomials and Coefficients : HyperElliptic Curves
  • Abhishek Bansal
Abhishek Bansal
New Era Consultancy Services, New Era Consultancy Services

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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?