|
Эта публикация цитируется в 1 научной статье (всего в 1 статье)
On the diffeomorphic type of the complement to a line arrangement in a projective plane
F. Bogomolovab, Vik. S. Kulikovcb a Courant Institute of Mathematical Sciences, New York University, 251 Mercer str., New York, NY 10012, USA
b Laboratory of Algebraic Geometry, GU-HSE, Vavilova Str. 7, Moscow, 117312, Russia
c Steklov Mathematical Institute, Gubkina Str. 8, Moscow, 119991, Russia
Аннотация:
We show that the diffeomorphic type of the complement to a line arrangement in a complex projective plane $P^2$
depends only on the graph of line intersections if no line in the arrangement contains more than two points in
which at least three lines intersect. This result also holds for some special arrangements which do not satisfy this
property. However it is not true in general, see [Rybnikov G., On the fundamental group of the complement of a
complex hyperplane arrangement, Funct. Anal. Appl., 2011, 45(2), 137–148].
Поступила в редакцию: 09.09.2011 Принята в печать: 26.10.2011
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/cejm4
|
Статистика просмотров: |
Страница аннотации: | 99 |
|