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arxiv: 1106.0924 · v1 · pith:O3SFG3KZnew · submitted 2011-06-05 · 🧮 math.DG

Riemannian Geometry and the Fundamental Theorem of Algebra

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keywords riemannianthenalgebraargumentscertainconstructedcontradictdimensional
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If a (non-constant) polynomial has no zero, then a certain Riemannian metric is constructed on the two dimensional sphere. Several geometric arguments are then shown to contradict this fact.

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