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Reconstructing general plane quartics from their inflection lines

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Pacini, Marco and Testa, Damiano (2019) Reconstructing general plane quartics from their inflection lines. Transactions of the American Mathematical Society, 372 . pp. 705-732. doi:10.1090/tran/7599

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Official URL: https://doi.org/10.1090/tran/7599

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Abstract

Let C be a general plane quartic. We show that if D is any plane quartic with the same configuration of inflection lines as C, then the quartics C and D coincide.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science > Mathematics
Library of Congress Subject Headings (LCSH): Curves, Quartic, Differential calculus
Journal or Publication Title: Transactions of the American Mathematical Society
Publisher: American Mathematical Society
ISSN: 0002-9947
Official Date: 2019
Dates:
DateEvent
2019Published
2 October 2018Available
18 April 2018Accepted
Volume: 372
Page Range: pp. 705-732
DOI: 10.1090/tran/7599
Status: Peer Reviewed
Publication Status: Published
Publisher Statement: First published in Transactions of the American Mathematical Society in [volume/issue number and year], published by the American Mathematical Society
Access rights to Published version: Restricted or Subscription Access
RIOXX Funder/Project Grant:
Project/Grant IDRIOXX Funder NameFunder ID
200377/2015-9Conselho Nacional de Desenvolvimento Científico e Tecnológicohttp://dx.doi.org/10.13039/501100003593
301314/2016-0Conselho Nacional de Desenvolvimento Científico e Tecnológicohttp://dx.doi.org/10.13039/501100003593
EP/F060661/1[EPSRC] Engineering and Physical Sciences Research Councilhttp://dx.doi.org/10.13039/501100000266
EP/K019279/1[EPSRC] Engineering and Physical Sciences Research Councilhttp://dx.doi.org/10.13039/501100000266
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