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This article is cited in 14 scientific papers (total in 14 papers)
Pencils of lines and the topology of real algebraic curves
T. Fidler
Abstract:
Using a pencil of lines, a new restriction on the location of ovals of a nonsingular plane curve is obtained. It turns out that the location of a curve separating its complexification with respect to a pencil of lines determines to a significant degree the complex orientation of the curve. Furthermore, a new invariant of the strict isotopy type of the curve is given, which in particular distinguishes some seventh degree $M$-curves with the same complex scheme. A restriction on the complex orientation of seventh degree $M$-curves is proved.
Bibliography: 9 titles.
Received: 25.11.1980
Citation:
T. Fidler, “Pencils of lines and the topology of real algebraic curves”, Izv. Akad. Nauk SSSR Ser. Mat., 46:4 (1982), 853–863; Math. USSR-Izv., 21:1 (1983), 161–170
Linking options:
https://www.mathnet.ru/eng/im1649https://doi.org/10.1070/IM1983v021n01ABEH001647 https://www.mathnet.ru/eng/im/v46/i4/p853
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Abstract page: | 360 | Russian version PDF: | 118 | English version PDF: | 6 | References: | 38 | First page: | 1 |
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