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О взаимных расположениях двух неособых кривых степени 4

С. 347–351.
Пучкова Н. Д.
Language: Russian
Keywords: распадающиеся алгебраические кривыеdecomposable curves

In book

Алгебра, теория чисел, дискретная геометрия и многомасштабное моделирование: современные проблемы, приложения и проблемы истории Материалы XIX Международной конференции, посвящённой 200-летию со дня рождения академика П.Л. Чебышёва
Тула: Тульский государственный педагогический университет им. Л.Н. Толстого, 2021.
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О расположениях двух M-кривых степени 4, овал одной из которых обвивается вокруг овала другой
Пучкова Н. Д., Чебышевский сборник 2023 Т. 24 № 3(89) С. 56–70
We consider the problem of topological classification of mutual dispositions in the real projective plane of two M-curves of degree 4. We study arrangements which are satisfact to the maximality condition (the oval of one of these curves has 16 pairwise different common points with the oval of the other of them) and some combinatorial ...
Added: August 31, 2023
О расположениях кубики и пары коник в вещественной проективной плоскости. II
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The problem of topological classification of real algebraic curves is a classical problem in fundamental mathematics that actually arose at the origins of mathematics. The problem gained particular fame and modern formulation after D. Hilbert included it in his famous list of mathematical problems at number 16 in 1900. This was the problem of classifying ...
Added: May 13, 2023
О классификации М-распадающихся кривых степени 7
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Added: September 9, 2022
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We consider the problem of topological classification of mutual dispositions in the real projective plane of two M-curves of degree 4. We studi  arrangements which are subject to the maximality condition (the oval of one of these curves has 16 pairwise different common points with the oval of the other of them) and  some combinatorial ...
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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. ...
Added: April 18, 2021
ПРИМЕНЕНИЕ ТЕОРИИ УЗЛОВ И ЗАЦЕПЛЕНИЙ К КЛАССИФИКАЦИИ РАСПАДАЮЩИХСЯ АЛГЕБРАИЧЕСКИХ КРИВЫХ
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The work is devoted to the application of the Orevkov method, based on the theory of knots and links, to the classification of real algebraic curves, which decompose into the product of two nonsingular curves under some conditions of maximality and general position. In particular, some classes of decomposable curves of the 7 and 8 ...
Added: December 8, 2020
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