%0 Journal Article
%T Zariski-van Kampen method and transcendental lattices of certain singular K3 surfaces
%A Ken-ichiro Arima
%A Ichiro Shimada
%J Mathematics
%D 2008
%I arXiv
%X 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.
%U http://arxiv.org/abs/0806.3311v2