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Calabi–Yau threefolds arising from fiber products of rational quasi-elliptic surfaces,I
Authors:Masayuki Hirokado  Hiroyuki Ito  Natsuo Saito
Affiliation:(1) Department of Information Sciences, Hiroshima City University, Ozuka-higashi, Asaminami-ku, Hiroshima 731-3194, Japan;(2) Department of Applied Mathematics, Graduate School of Engineering, Hiroshima University, Kagamiyama, Higashi-Hiroshima 739-8527, Japan
Abstract:
In this paper, we construct some unirational Calabi–Yau threefolds in characteristic 3. We adopt the method by Schoen, but we use quasi-elliptic surfaces instead of elliptic surfaces. We find new examples which do not admit a lifting to characteristic zero.
Keywords:
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