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2012•Israel Journal of MathematicsOpen access

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

Marco Pacini, Damiano Testa

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Abstract

Abstract In this paper we consider the following problem: is it possible to recover a smooth plane curve of degree d ≥ 3 from its inflection lines? We answer the posed question positively 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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Abstract In this paper we consider the following problem: is it possible to recover a smooth plane curve of degree d ≥ 3 from its inflection lines? We answer the posed question positively 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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Available abstract

Abstract In this paper we consider the following problem: is it possible to recover a smooth plane curve of degree d ≥ 3 from its inflection lines? We answer the posed question positively 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.

Key concepts: Inflection point, Quartic plane curve, Mathematics, Plane curve, Quartic function, Inflection, Degree (music), Plane (geometry)

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