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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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Apparent contours of nonsingular real cubic surfaces
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by Sergey Finashin and Viatcheslav Kharlamov PDF
Trans. Amer. Math. Soc. 367 (2015), 7221-7289 Request permission

Abstract:

We give a complete deformation classification of real Zariski sextics, that is, of generic apparent contours of nonsingular real cubic surfaces. As a by-product, we observe a certain “reversion” duality in the set of deformation classes of these sextics.
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Additional Information
  • Sergey Finashin
  • Affiliation: Department of Mathematics, Middle East Technical University, Ankara 06800 Turkey
  • MR Author ID: 244559
  • Viatcheslav Kharlamov
  • Affiliation: Département de Mathématiques, Université de Strasbourg et IRMA (CNRS), 7 rue René-Descartes 67084 Strasbourg Cedex, France
  • MR Author ID: 202474
  • ORCID: 0000-0001-9341-1391
  • Received by editor(s): June 11, 2013
  • Received by editor(s) in revised form: August 17, 2013
  • Published electronically: February 16, 2015
  • Additional Notes: The second author acknowledges financial support by the grant ANR-09-BLAN-0039-01 of Agence Nationale de la Recherche.
  • © Copyright 2015 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Trans. Amer. Math. Soc. 367 (2015), 7221-7289
  • MSC (2010): Primary 14P25, 14J28, 14J70, 14N25, 14H45
  • DOI: https://doi.org/10.1090/S0002-9947-2015-06286-2
  • MathSciNet review: 3378829