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Алгебра и анализ, 1996, том 8, выпуск 6, страницы 1–25
(Mi aa742)
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Статьи
The monodromy group of a configuration of lines
Florian Deloup
Аннотация:
A configuration of skew lines is an unordered collection of lines in general
position in a real affine or projective three-dimensional space. Such configurations
give rise to topological problems related to real algebraic geometry. In this paper,
the notion of a monodromy group, which is a rigid isotopy invariant of such
configurations, is introduced, and some of its properties are studied. It is shown
that in two important cases, the monodromy group determines the configuration up
to rigid isotopy and mirror image.
Ключевые слова:
Three-dimensional space, configuration of lines, monodromy group.
Поступила в редакцию: 15.05.1996
Образец цитирования:
Florian Deloup, “The monodromy group of a configuration of lines”, Алгебра и анализ, 8:6 (1996), 1–25; St. Petersburg Math. J., 8:6 (1997), 913–929
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/aa742 https://www.mathnet.ru/rus/aa/v8/i6/p1
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Страница аннотации: | 222 | PDF полного текста: | 94 | Первая страница: | 1 |
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