The Library
Plane quartics with at least 8 hyperinflection points
Tools
Tools
Tools
Pacini, Marco and Testa, Damiano (2014) Plane quartics with at least 8 hyperinflection points. Bulletin of the Brazilian Mathematical Society, 45 (4). pp. 819-836. doi:10.1007/s00574-014-0077-3
![[img]](http://wrap.warwick.ac.uk/style/images/fileicons/application_pdf.png) |
PDF
Pacini-Testa2014_Article_PlaneQuarticsWithAtLeast8Hyper.pdf - Published Version Embargoed item. Restricted access to Repository staff only - Requires a PDF viewer. Download (169Kb) |
Official URL: https://doi.org/10.1007/s00574-014-0077-3
Abstract
A recent result shows that a general smooth plane quartic can be recovered from its 24 inflection lines and a single inflection point. Nevertheless, the question of whether or not a smooth plane curve of degree at least 4 is determined from its inflection lines is still open. Over a field of characteristic 0, we show that it is possible to reconstruct any smooth plane quartic with at least 8 hyperinflection points by its inflection lines. Our methods apply also in positive characteristic, where we show a similar result, with two exceptions in characteristic 13.
| Item Type: | Journal Article | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics | |||||||||
| Divisions: | Faculty of Science > Mathematics | |||||||||
| Library of Congress Subject Headings (LCSH): | Curves, Plane , Curves, Quartic, Geometry, Algebraic | |||||||||
| Journal or Publication Title: | Bulletin of the Brazilian Mathematical Society | |||||||||
| Publisher: | Springer | |||||||||
| ISSN: | 1678-7714 | |||||||||
| Official Date: | December 2014 | |||||||||
| Dates: |
|
|||||||||
| Volume: | 45 | |||||||||
| Number: | 4 | |||||||||
| Page Range: | pp. 819-836 | |||||||||
| DOI: | 10.1007/s00574-014-0077-3 | |||||||||
| Status: | Peer Reviewed | |||||||||
| Publication Status: | Published | |||||||||
| Access rights to Published version: | Restricted or Subscription Access | |||||||||
| RIOXX Funder/Project Grant: |
|
|||||||||
| Open Access Version: |
Request changes or add full text files to a record
Repository staff actions (login required)
 |
View Item |
