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arXiv · 1612.04364

Classification of double octic Calabi-Yau threefolds

Slawomir Cynk·Beata Kocel-Cynk
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Abstract

In the present paper we propose a combinatorial approach to study the so called double octic Clabi--Yau threefolds. We use this description to give a complete classification of double octics with $h^{1,2}\le1$ and to derive their geometric properties (Kummer surface fibrations, automorphisms, special elements in families).

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Slawomir Cynk, Beata Kocel-Cynk. 2016-12-13. Classification of double octic Calabi-Yau threefolds. https://doi.org/10.1142/s0219199718500827

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