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Transactions of the American Mathematical Society

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

 
 

 

Apparent contours of nonsingular real cubic surfaces


Authors: Sergey Finashin and Viatcheslav Kharlamov
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
Published electronically: February 16, 2015
MathSciNet review: 3378829
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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

Viatcheslav Kharlamov
Affiliation: Département de Mathématiques, Université de Strasbourg et IRMA (CNRS), 7 rue René-Descartes 67084 Strasbourg Cedex, France

DOI: https://doi.org/10.1090/S0002-9947-2015-06286-2
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.
Article copyright: © Copyright 2015 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.

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