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arXiv · 0806.3311

Zariski-van Kampen method and transcendental lattices of certain singular K3 surfaces

Ken-ichiro Arima·Ichiro Shimada
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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 $A_{10}+A_{9}$ that are defined over a real quadratic field and are conjugate to each other over the field of rational numbers.

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Ken-ichiro Arima, Ichiro Shimada. 2009-06-05. Zariski-van Kampen method and transcendental lattices of certain singular K3 surfaces. https://arxiv.org/abs/0806.3311

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