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Plane quartics with at least 8 hyperinflection points
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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 ISSN 1678-7714.
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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 | |||||||||
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Subjects: | Q Science > QA Mathematics | |||||||||
Divisions: | Faculty of Science, Engineering and Medicine > 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: |
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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 | |||||||||
Date of first compliant deposit: | 13 July 2018 | |||||||||
RIOXX Funder/Project Grant: |
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Open Access Version: |
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