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arXiv · 1501.04024

Calabi-Yau Threefolds Fibred by Kummer Surfaces Associated to Products of Elliptic Curves

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

We study threefolds fibred by Kummer surfaces associated to products of elliptic curves, that arise as resolved quotients of threefolds fibred by certain lattice polarized K3 surfaces under a fibrewise Nikulin involution. We present a general construction for such surfaces, before specializing our results to study Calabi-Yau threefolds arising as resolved quotients of threefolds fibred by mirror quartic K3 surfaces. Finally, we give some geometric properties of the Calabi-Yau threefolds that we have constructed, including expressions for Hodge numbers.

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Charles F. Doran, Andrew Harder, Andrey Y. Novoseltsev, Alan Thompson. 2015-01-16. Calabi-Yau Threefolds Fibred by Kummer Surfaces Associated to Products of Elliptic Curves. https://doi.org/10.1090/pspum/093

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