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arXiv · 1102.2478

Inflection Points of Real and Tropical Plane Curves

Erwan Brugallé·Lucía López de Medrano
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Abstract

We prove that Viro's patchworking produces real algebraic curves with the maximal number of real inflection points. In particular this implies that maximally inflected real algebraic $M$-curves realize many isotopy types. The strategy we adopt in this paper is tropical: we study tropical limits of inflection points of classical plane algebraic curves. The main tropical tool we use to understand these tropical inflection points are tropical modifications.

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Erwan Brugallé, Lucía López de Medrano. 2012-03-06. Inflection Points of Real and Tropical Plane Curves. https://arxiv.org/abs/1102.2478

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