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Supersolvable orders and inductively free arrangements

100%

Gao R., Cui X., Li Z.

Open Mathematics

2017

tom 15

nr 1

587-594

In this paper, we define the supersolvable order of hyperplanes in a supersolvable arrangement, and obtain a class of inductively free arrangements according to this order. Our main results improve the conclusion that every supersolvable arrangement is inductively free. In addition, we assert that the inductively free arrangement with the required induction table is supersolvable.

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

76%

Bogomolov F., Kulikov V.

Open Mathematics

2012

tom 10

nr 2

521-529

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].

Ograniczanie wyników

2 Open Mathematics

1 Bogomolov F.

1 Cui X.

1 Gao R.

1 Kulikov V.

1 Li Z.

1 2017

1 2012

Wyniki wyszukiwania

Supersolvable orders and inductively free arrangements

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