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

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

2011-10-13

arxiv.org/abs/1110.3082v1

Mathematics

Algebraic Geometry

24 pages

Scientific paper

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.

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