Some computations on the characteristic variety of a line arrangement

Abstract

We find monodromy formulas for line arrangements which are fibered with respect to the projection from one point. We use them to find $0$-dimensional translated components in the first characteristic variety of the arrangement $\mathcal{R}(2n)$ determined by a regular $n$-polygon and its diagonals.

arXiv comment17 pages, 4 figures

References in corpus (6)

• Geometry of cohomology support loci for local systems I
• Characteristic varieties of arrangements
• Topology and geometry of cohomology jump loci
• The Milnor fibration of a hyperplane arrangement: from modular resonance to algebraic monodromy
• Combinatorial Morse theory and minimality of hyperplane arrangements
• On the monodromy action on Milnor fibers of graphic arrangements