Multinets in $$\mathbb{P}^{2}$$

Multinets are certain configurations of lines and points with multiplicities in the complex plane \(\mathbb{P}^{2}\). They are used in the studies of resonance and characteristic varieties of complex hyperplane arrangement complements and cohomology of Milnor fibers. If all multiplicities equal 1 then a multinet is a net that is a realization by lines and points of several orthogonal latin squares. Very few examples of multinets with nontrivial multiplicities are known. In this paper, we present new examples of multinets. These are obtained by using an analogue of nets in \(\mathbb{P}^{3}\) and intersecting them by planes.