TY - JOUR
T1 - On the diffeomorphic type of the complement to a line arrangement in a projective plane
AU - Bogomolov, Fedor
AU - Kulikov, Viktor S.
N1 - Funding Information:
The first author was supported by NSF grants DMS-1001662, both authors were supported by AG Laboratory HSE, RF government grant, ag. 11.G34.31.0023, and the second author was partially supported by grants of NSh-4713.2010.1 and RFBR 11-01-00185.
PY - 2012/4
Y1 - 2012/4
N2 - 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 two 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].
AB - 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 two 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].
KW - Incidence matrix
KW - Line arrangement
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U2 - 10.2478/s11533-011-0116-x
DO - 10.2478/s11533-011-0116-x
M3 - Article
AN - SCOPUS:84856020009
SN - 1895-1074
VL - 10
SP - 521
EP - 529
JO - Central European Journal of Mathematics
JF - Central European Journal of Mathematics
IS - 2
ER -