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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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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.
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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