Roots of characteristic polynomials and intersection points of line arrangements
Roots of characteristic polynomials and intersection points of line arrangements
We study a relation between roots of characteristic polynomials and intersection points of line arrangements. Using these results, we obtain a lot of applications for line arrangements. Namely, we give (i) a generalized addition theorem for line arrangements, (ii) a generalization of Faenzi-Valles' theorem over a field of arbitrary characteristic, …