Mathematics – Algebraic Geometry
Scientific paper
2008-06-20
Mathematics
Algebraic Geometry
24 pages, typos are corrected, references are updated, a new figure is added
Scientific paper
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.
Arima Ken-ichiro
Shimada Ichiro
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