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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
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: |
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| 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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