Zariski-van Kampen method and transcendental lattices of certain singular K3 surfaces
arXiv:0806.3311
Abstract
We present a method of Zariski-van Kampen type for the calculation of the transcendental lattice of a complex projective surface. As an application, we calculate the transcendental lattices of complex singular K3 surfaces associated with an arithmetic Zariski pair of maximizing sextics of type that are defined over a real quadratic field and are conjugate to each other over the field of rational numbers.
24 pages, typos are corrected, references are updated, a new figure is added