分野別セミナー

During this talk, we will introduce a topological invariant of complexified real line arrangements, called the chamber weight. This invariant is based on the weight counting over the points of the associated dual configuration, located in particular chambers of the real projective plane.
Using this dual setting and this new invariant, we will construct examples of complexified real line arrangements with the same combinatorial data and different embeddings in the complex projective plane (i.e. Zariski pairs).