RUS  ENG
Полная версия
ЖУРНАЛЫ // Труды Математического института имени В. А. Стеклова // Архив

Труды МИАН, 2009, том 267, страницы 97–109 (Mi tm2600)

Эта публикация цитируется 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.

УДК: 515.173.41

Поступило в апреле 2008 г.

Язык публикации: английский


 Англоязычная версия: Proceedings of the Steklov Institute of Mathematics, 2009, 267, 91–103

Реферативные базы данных:


© МИАН, 2024