Zariski-van Kampen method and transcendental lattices of certain   singular K3 surfaces
  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 $A_{10}+A_{9}$ that are defined over a real quadratic field and are conjugate to each other over the field of rational numbers. 
Ken-ichiro Arima, Ichiro Shimada