manuscripta mathematica

, Volume 125, Issue 3, pp 325–343

Calabi-Yau threefolds arising from fiber products of rational quasi-elliptic surfaces, II

Article

DOI: 10.1007/s00229-007-0151-x

Cite this article as:
Hirokado, M., Ito, H. & Saito, N. manuscripta math. (2008) 125: 325. doi:10.1007/s00229-007-0151-x

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.

Mathematics Subject Classification (2000)

14J3014J3214B0514D06

Copyright information

© Springer-Verlag 2007

Authors and Affiliations

  1. 1.Graduate School of Information SciencesHiroshima City UniversityAsaminami-ku, HiroshimaJapan
  2. 2.Department of Applied Mathematics, Graduate School of EngineeringHiroshima UniversityHigashi-HiroshimaJapan