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Труды Математического института имени В. А. Стеклова, 2009, том 267, страницы 97–109
(Mi tm2600)
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Эта публикация цитируется в 1 научной статье (всего в 1 статье)
Automorphisms of $P_8$ Singularities and the Complex Crystallographic Groups
V. Goryunova, D. Kernerb a Department of Mathematical Sciences, University of Liverpool, Liverpool, United Kingdom
b Department of Mathematics, Ben Gurion University of the Negev, Be'er Sheva, Israel
Аннотация:
The paper completes the study of symmetries of parabolic function singularities with relation to complex crystallographic groups that was started by the first co-author and his collaborator. We classify smoothable automorphisms of $P_8$ singularities which split the kernel of the intersection form on the second homology. For such automorphisms, the monodromy groups acting on the duals to the eigenspaces with degenerate intersection form are then identified as some of complex affine reflection groups tabled by V. L. Popov.
Поступило в апреле 2008 г.
Образец цитирования:
V. Goryunov, D. Kerner, “Automorphisms of $P_8$ Singularities and the Complex Crystallographic Groups”, Особенности и приложения, Сборник статей, Труды МИАН, 267, МАИК «Наука/Интерпериодика», М., 2009, 97–109; Proc. Steklov Inst. Math., 267 (2009), 91–103
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/tm2600 https://www.mathnet.ru/rus/tm/v267/p97
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Страница аннотации: | 346 | PDF полного текста: | 75 | Список литературы: | 86 |
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