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Higher dimensional Calabi-Yau manifolds of Kummer type
Mathematische Nachrichten ( IF 1 ) Pub Date : 2020-04-01 , DOI: 10.1002/mana.201800487 Dominik Burek 1
Mathematische Nachrichten ( IF 1 ) Pub Date : 2020-04-01 , DOI: 10.1002/mana.201800487 Dominik Burek 1
Affiliation
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 $p\not\equiv 1\pmod{12}.$
中文翻译:
Kummer 类型的高维 Calabi-Yau 流形
基于 Cynk-Hulek 方法,我们使用具有 6 阶自同构的椭圆曲线构造任意维度的复杂 Calabi-Yau 变体。我们还给出了从该构造获得的变体霍奇数的公式。我们将推广 Katsura 和 Sch\"utt 的结果以获得任意维数的 Calabi-Yau 流形,它们是 Zariski 在任何特征 $p\not\equiv 1\pmod{12}.$
更新日期:2020-04-01
中文翻译:
Kummer 类型的高维 Calabi-Yau 流形
基于 Cynk-Hulek 方法,我们使用具有 6 阶自同构的椭圆曲线构造任意维度的复杂 Calabi-Yau 变体。我们还给出了从该构造获得的变体霍奇数的公式。我们将推广 Katsura 和 Sch\"utt 的结果以获得任意维数的 Calabi-Yau 流形,它们是 Zariski 在任何特征 $p\not\equiv 1\pmod{12}.$