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Patchworking Arrangements of a cubic and a Quartic

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Abstract

B. Sturmfels modified Viro's "patchworking" method and applied it for construction of complete intersections. In the paper, this modification is used for construction of decomposable curves. 11 new arrangements of an M-cubic and an M-quartic with 12 common points lying on the odd branch of the cubic and an oval of the quartic are realized. Bibliography: 16 titles.

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Gushchin, M.A., Korobeinikov, A.N. & Polotovskii, G.M. Patchworking Arrangements of a cubic and a Quartic. Journal of Mathematical Sciences 113, 795–803 (2003). https://doi.org/10.1023/A:1021279100786

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