Higher dimensional Calabi–Yau manifolds of Kummer type

Dominik Burek

Mathematische Nachrichten, 2020, vol. 293, issue 4, 638-650

Abstract: Based on Cynk–Hulek method from [7] we construct complex Calabi–Yau varieties of arbitrary dimensions using elliptic curves with an automorphism of order 6. Also we give formulas for Hodge numbers of varieties obtained from that construction. We shall generalize the result of [11] to obtain arbitrarily dimensional Calabi–Yau manifolds which are Zariski in any characteristic p≢1(mod12).

Date: 2020
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https://doi.org/10.1002/mana.201800487

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