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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. ISSN 0021-2172
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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 |
| Volume: | Volume 195 |
| Number: | Number 1 |
| Page Range: | pp. 283-316 |
| Identification Number: | 10.1007/s11856-012-0129-6 |
| Status: | Peer Reviewed |
| Publication Status: | Published |
| Access rights to Published version: | Restricted or Subscription Access |
| Funder: | CNPq, EPSRC |
| Grant number: | 300714/2010-6, EP/F060661/1 |
| URI: | http://wrap.warwick.ac.uk/id/eprint/48786 |
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