On the numerical Terao's conjecture and Ziegler pairs for line
arrangements
On the numerical Terao's conjecture and Ziegler pairs for line
arrangements
In this paper we present a smallest possible counterexample to the Numerical Terao's Conjecture in the class of line arrangements in the complex projective plane. Our example consists of a pair of two arrangements with $13$ lines. Moreover, we use the newly discovered singular matroid realization spaces to construct new …