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

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Pacini, Marco and Testa, Damiano. (2012) Recovering plane curves of low degree from their inflection lines and inflection points. Israel Journal of Mathematics . pp. 1-34. (In Press)

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Official URL: http://dx.doi.org/10.1007/s11856-012-0129-6

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. © 2012 Hebrew University Magnes Press.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science > Mathematics
Series Name: ArXiv e-prints
Journal or Publication Title: Israel Journal of Mathematics
Publisher: Magnes Press
Place of Publication: Israel Journal of Mathematics
Date: 2012
Page Range: pp. 1-34
Identification Number: 10.1007/s11856-012-0129-6
Status: Peer Reviewed
Publication Status: In Press
Access rights to Published version: Restricted or Subscription Access
Description: Article in press
Funder: CNPq, EPSRC
Grant number: 300714/2010-6, EP/F060661/1
URI: http://wrap.warwick.ac.uk/id/eprint/48786

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