Geometric Solutions to Algebraic Equations

Details Geometric Solutions to Algebraic Equations Geometric Solutions to Algebraic Equations

2005-03-22

arxiv.org/abs/physics/0503175v1

Physics

General Physics

8 pages, LateX, 1 figure

Scientific paper

A method to the explict solutions of general systems of algebraic equations is presented via the metric form of affiliated K\"ahler manifolds. The solutions to these systems arise from sets of geodesic second order non-linear differential equations. Algebraic equations in various fields such as integers and rational numbers, as well as transcendental equations, are amenable. The case of Fermat's set of equations is a subset.

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