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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 (2013) Recovering plane curves of low degree from their inflection lines and inflection points. Israel Journal of Mathematics, Volume 195 (Number 1). pp. 283-316. doi:10.1007/s11856-012-0129-6

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

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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. © 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
ISSN: 0021-2172
Official Date: June 2013
Dates:
DateEvent
June 2013Published
Volume: Volume 195
Number: Number 1
Page Range: pp. 283-316
DOI: 10.1007/s11856-012-0129-6
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access
Funder: Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq), Engineering and Physical Sciences Research Council (EPSRC)
Grant number: 300714/2010-6 (CNPq), EP/F060661/1 (EPSRC)

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