Brugallé, Erwan A.; López de Medrano, Lucia M. Inflection points of real and tropical plane curves. (English) Zbl 1292.14042 J. Singul. 4, 74-103 (2012). Summary: 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. Cited in 22 Documents MSC: 14T05 Tropical geometry (MSC2010) 14P05 Real algebraic sets Keywords:tropical geometry; patchworking; inflection points; tropical modifications; real algebraic curves PDFBibTeX XMLCite \textit{E. A. Brugallé} and \textit{L. M. López de Medrano}, J. Singul. 4, 74--103 (2012; Zbl 1292.14042) Full Text: DOI arXiv