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Abyss and Game of Polynomials and Coefficients : HyperElliptic Curves

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Version 2 2023-11-01, 18:23
Version 1 2023-07-07, 18:06
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posted on 2023-11-01, 18:23 authored by Abhishek BansalAbhishek Bansal

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 - ‘Abyss and Game of Polynomials and Coefficients : Algebraic Cubic And Elliptic Curves’ are equated in the hyperelliptic curve equation and 372 plots obtained are submitted. 

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?

Funding

SELF FUNDED

History

Email Address of Submitting Author

abhishekbansaL006@gmail.com

ORCID of Submitting Author

https://orcid.org/0000-0002-2572-9004

Submitting Author's Institution

New Era Consultancy Services

Submitting Author's Country

  • India

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