Reconstructing general plane quartics from their inflection lines
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- by Marco Pacini and Damiano Testa PDF
- Trans. Amer. Math. Soc. 372 (2019), 705-732 Request permission
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.References
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Additional Information
- Marco Pacini
- Affiliation: Instituto de Matemática, Universidade Federal Fluminense, Rio de Janeiro, Brazil
- MR Author ID: 782652
- Email: pacini.uff@gmail.com; pacini@impa.br
- Damiano Testa
- Affiliation: Mathematics Institute, University of Warwick, Coventry CV4 7AL, United Kingdom
- MR Author ID: 794104
- Email: adomani@gmail.com
- Received by editor(s): December 2, 2017
- Received by editor(s) in revised form: January 26, 2018, March 28, 2018, and April 8, 2018
- Published electronically: October 2, 2018
- Additional Notes: The first author was partially supported by CNPq, processo 200377/2015-9 and processo 301314/2016-0
The second author was partially supported by EPSRC grant number EP/F060661/1 and number EP/K019279/1 - © Copyright 2018 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 372 (2019), 705-732
- MSC (2010): Primary 14Q05, 14H45, 14H50, 14N20
- DOI: https://doi.org/10.1090/tran/7599
- MathSciNet review: 3968785