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arXiv · 1810.11084

Higher dimensional Calabi-Yau manifolds of Kummer type

Dominik Burek
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Abstract

Based on Cynk-Hulek method we construct complex Calabi-Yau varieties of arbitrary dimensions using elliptic curves with automorphism of order 6. Also we give formulas for Hodge numbers of varieties obtained from that construction. We shall generalize result of Katsura and Sch\"utt to obtain arbitrarily dimensional Calabi-Yau manifolds which are Zariski in any characteristic $p\not\equiv 1\pmod{12}.$

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Dominik Burek. 2018-10-25. Higher dimensional Calabi-Yau manifolds of Kummer type. https://arxiv.org/abs/1810.11084

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