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Calabi–Yau threefolds obtained as fiber products of elliptic and quasi-elliptic rational surfaces

Authors
Journal
Journal of Pure and Applied Algebra
0022-4049
Publisher
Elsevier
Publication Date
Volume
162
Identifiers
DOI: 10.1016/s0022-4049(01)00022-6
Disciplines
  • Mathematics

Abstract

Abstract Let X be a Calabi–Yau threefold defined over an algebraically closed field k of characteristic p>0. It is natural to expect that X has some properties which cannot be seen in characteristic zero. To observe such phenomena, we study Calabi–Yau threefolds constructed from fiber products of elliptic and quasi-elliptic rational surfaces over P 1 . These Calabi–Yau threefolds turn out to be unirational, have fibrations which are not generically smooth. We shall also observe their Artin–Mazur formal groups and the Hodge duality.

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