分野別セミナー

The purpose of the talk is to explore the topology of the moduli space of line arrangement via a combinatorial approach. In the first part, we investigate combinatorial classes of arrangements whose moduli space is connected. We introduce the notion of arrangements with a rigid pencil form. It ensures the connectivity of the moduli space and is less restrictive that the class of C3 arrangements of simple type. In the last part, we obtain a combinatorial upper bound on the number of connected components of the moduli space.

URL: https://sites.google.com/view/mathpolynomial