Geodesic
Construction of some mutual arrangements of $M$-cubic and $M$-quintic
Čebyševskij sbornik, Tome 22 (2021) no. 1, pp. 76-91

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The construction of decomposable curves of degree 8 with multipliers of degrees 3 and 5 is considered in this paper. Sturmfels's modification of Viro's patchworking method for constructing decomposable curves is used. 29 pairwise different curves were constructed.
Keywords: real algebraic curves, real decomposable algebraic curves, patchworking. 
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     author = {I. M. Borisov},
     title = {Construction of some mutual arrangements of $M$-cubic and $M$-quintic},
     journal = {\v{C}eby\v{s}evskij sbornik},
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     year = {2021},
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     url = {http://geodesic.mathdoc.fr/item/CHEB_2021_22_1_a5/}
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I. M. Borisov. Construction of some mutual arrangements of $M$-cubic and $M$-quintic. Čebyševskij sbornik, Tome 22 (2021) no. 1, pp. 76-91. http://geodesic.mathdoc.fr/item/CHEB_2021_22_1_a5/