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arXiv · 1501.04019

Calabi-Yau Threefolds Fibred by Mirror Quartic K3 Surfaces

Charles F. Doran·Andrew Harder·Andrey Y. Novoseltsev·Alan Thompson
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Abstract

We study threefolds fibred by mirror quartic K3 surfaces. We begin by showing that any family of such K3 surfaces is completely determined by a map from the base of the family to the moduli space of mirror quartic K3 surfaces. This is then used to give a complete explicit description of all Calabi-Yau threefolds fibred by mirror quartic K3 surfaces. We conclude by studying the properties of such Calabi-Yau threefolds, including their Hodge numbers and deformation theory.

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Charles F. Doran, Andrew Harder, Andrey Y. Novoseltsev, Alan Thompson. 2015-01-16. Calabi-Yau Threefolds Fibred by Mirror Quartic K3 Surfaces. https://doi.org/10.1016/j.aim.2016.03.045

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