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Sextactic points on a simple closed curve

Gudlaugur Thorbergsson·Masaaki Umehara
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Abstract

We give optimal lower bounds for the number of sextactic points on a simple closed curve in the real projective plane. Sextactic points are after inflection points the simplest projectively invariant singularities on such curves. Our method is axiomatic and can be applied in other situations.

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Gudlaugur Thorbergsson, Masaaki Umehara. 2000-12-06. Sextactic points on a simple closed curve. https://arxiv.org/abs/math/0008137

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