Corrigendum to the paper "A flexible affine $M$-sextic which is algebraically unrealizable"

TL;DR

This paper corrects a previous proof and completes the classification of real algebraic affine M-sextic curves by proving the algebraic unrealizability of certain isotopy types that are pseudoholomorphically realizable.

Contribution

It provides a corrected proof establishing the algebraic unrealizability of specific isotopy types of M-sextic curves, completing their classification.

Findings

Certain isotopy types are algebraically unrealizable

The classification of real algebraic affine M-sextics is now complete

Previous proof was incorrect and has been rectified

Abstract

We prove the algebraic unrealizability of 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 was incorrect.