Characteristic Varieties for a Class of Line Arrangements

Author name not available (Why is that?)

Abstract: Let

m a t h c a l A

be a line arrangement in the complex projective plane

m a t h b b P^{2}

, having the points of multiplicity

g e q 3

situated on two lines in

m a t h c a l A

, say

H_{0}

and

H_{i n f t y}

. Then we show that the non-local irreducible components of the first resonance variety

m a t h c a l R_{1} (m a t h c a l A)

are 2-dimensional and correspond to parallelograms

m a t h c a l P

in

m a t h b b C^{2} = m a t h b b P^{2} s e t m i n u s H_{i n f t y}

whose sides are in

m a t h c a l A

and for which

H_{0}

is a diagonal.

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