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paper

Recovering plane curves of low degree from their inflection lines and inflection points

arXiv:1110.3082

Abstract

In this paper we consider the following problem: is it possible to recover a smooth plane curve of degree at least three from its inflection lines? We answer positively to the posed question for a general smooth plane quartic curve, making the additional assumption that also one inflection point is given, and for any smooth plane cubic curve.

24 pages