Corrigendum to “A flexible affine 𝑀-sextic which is algebraically unrealizable”

Author:

Fiedler-Le Touzé S.,Orevkov S.,Shustin E.

Abstract

We prove the algebraic unrealizability of a certain isotopy type of plane affine real algebraic M M -sextic which is pseudoholomorphically realizable. This result completes the classification up to isotopy of real algebraic affine M 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.

Publisher

American Mathematical Society (AMS)

Subject

Geometry and Topology,Algebra and Number Theory

Reference16 articles.

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2. S. Fiedler-Le Touzé, Pencils of cubics with eight base points lying in convex position in ℝℙ², arXiv [math AG] 1012.2679, 2010.

3. S. Fiedler-Le Touzé, Rational pencils of cubics and configurations of six or seven points in ℝℙ², arXiv[AG] 1210.7146, 2012.

4. A flexible affine 𝑀-sextic which is algebraically unrealizable;Fiedler-Le Touzé, S.;J. Algebraic Geom.,2002

5. Variability of simple double points of real plane algebraic curves.;Gudkov, D. A.;Dokl. Akad. Nauk SSSR,1962

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Arrangements of a plane -sextic with respect to a line;St. Petersburg Mathematical Journal;2022-12-16

2. Algebraically unrealizable complex orientations of plane real pseudoholomorphic curves;Geometric and Functional Analysis;2021-06-18

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