Arrangements of a plane 𝑀-sextic with respect to a line

Orevkov, S.

doi:10.1090/spmj/1747

Arrangements of a plane $M$-sextic with respect to a line
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by S. Yu. Orevkov
Translated by: the author

St. Petersburg Math. J. 34 (2023), 93-107

DOI: https://doi.org/10.1090/spmj/1747

Published electronically: December 16, 2022

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Abstract:

The mutual arrangements of a real algebraic or real pseudoholomorphic plane projective $M$-sextic and a line up to isotopy are studied. A complete list of pseudoholomorphic arrangements is obtained. Four of them are proved to be algebraically unrealizable. All the others with two exceptions are algebraically realized.

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