Abstract
We construct examples of supersingular Calabi-Yau threefolds in characteristic 2 making use of the method by Schoen. Unirational Calabi-Yau threefolds of five different topological types are obtained. There are two examples with the third Betti number zero among them, and they are counted as other examples of non-liftable Calabi-Yau threefolds in characteristic 2 after the one given by Schröer.
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Research of the authors was partially supported by JSPS Core-to-Core Program No. 18005.
Research of the second author was partially supported by Grant-in-Aid for Scientific Research 17540027, Ministry of Education, Science and Culture. Research of the third author was partially supported by Grant-in-Aid for Scientific Research 17740022, Ministry of Education, Science and Culture.
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Hirokado, M., Ito, H. & Saito, N. Calabi-Yau threefolds arising from fiber products of rational quasi-elliptic surfaces, II. manuscripta math. 125, 325–343 (2008). https://doi.org/10.1007/s00229-007-0151-x
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DOI: https://doi.org/10.1007/s00229-007-0151-x