Journal of Algebraic Geometry

Journal of Algebraic Geometry

Online ISSN 1534-7486; Print ISSN 1056-3911

   
 
 

 

Corrigendum to ``A flexible affine $ M$-sextic which is algebraically unrealizable''


Authors: S. Fiedler-Le Touzé, S. Orevkov and E. Shustin
Journal: J. Algebraic Geom.
DOI: https://doi.org/10.1090/jag/733
Published electronically: August 28, 2019
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Abstract | References | Additional Information

Abstract: We prove the algebraic unrealizability of a certain isotopy type of plane affine real algebraic $ M$-sextic which is pseudoholomorphically realizable. This result completes the classification up to isotopy of real algebraic affine $ M$-sextics. The proof of this result given in a previous paper by the first two authors [J. Algebraic Geom. 11 (2002), pp. 293-310] was incorrect.


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S. Fiedler-Le Touzé
Affiliation: IMT, l’université Paul Sabatier, 118 route de Narbonne, 31062 Toulouse, France
Email: severine.fiedler@live.fr

S. Orevkov
Affiliation: IMT, l’université Paul Sabatier, 118 route de Narbonne, 31062 Toulouse, France; and Steklov Mathematics Institut, Gubkina 8, 119991 Moscow, Russia
Email: orevkov@math.ups-tlse.fr

E. Shustin
Affiliation: School of Mathematical Sciences, Tel Aviv University, Ramat Aviv, 69978 Tel Aviv, Israel
Email: shustin@math.tau.ac.il

DOI: https://doi.org/10.1090/jag/733
Received by editor(s): January 14, 2018
Received by editor(s) in revised form: June 26, 2018
Published electronically: August 28, 2019
Additional Notes: The second author was partially supported by RFBR grant no. 17-01-00592a. The third author was supported by the Israeli Science Foundation grant no. 176/15.
Article copyright: © Copyright 2019 University Press, Inc.