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On the convex hull of projective planes

Jean-François Maurras, Roumen Nedev (2008)

RAIRO - Operations Research

We study the finite projective planes with linear programming models. We give a complete description of the convex hull of the finite projective planes of order 2. We give some integer linear programming models whose solution are, either a finite projective (or affine) plane of order n, or a (n+2)-arc.

On the diffeomorphic type of the complement to a line arrangement in a projective plane

Fedor Bogomolov, Viktor Kulikov (2012)

Open Mathematics

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,...

Currently displaying 1421 – 1440 of 2522