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

DOI10.1016/S0022-4049(01)00022-6zbMath1048.14021MaRDI QIDQ5946454

Masayuki Hirokado

Publication date: 2001

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

Calabi-Yau threefoldsfibrationspositive characteristicsHodge dualityHodge spectral sequencenon smooth generic fiberproduct of an elliptic curve and a rational curve

Mathematics Subject Classification ID

Calabi-Yau manifolds (algebro-geometric aspects) (14J32) (3)-folds (14J30) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Rigid analytic geometry (14G22)

Related Items (4)

A non-liftable Calabi-Yau threefold in characteristic 3 ⋮ Calabi-Yau threefolds arising from fiber products of rational quasi-elliptic surfaces. I ⋮ Calabi-Yau threefolds arising from fiber products of rational quasi-elliptic surfaces. II ⋮ Desingularized fiber products of semi-stable elliptic surfaces with vanishing third Betti number

Cites Work

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• The Mordell-Weil groups of unirational quasi-elliptic surfaces in characteristic 3
• Surfaces of type K3 over fields of finite characteristic
• On fiber products of rational elliptic surfaces with section
• On the fundamental group of a unirational 3-fold
• Extremal rational elliptic surfaces in characteristic \(p\). I: Beauville surfaces
• Enriques surfaces. I
• Enriques' classification of surfaces in char p. III
• The Mordell-Weil groups of unirational quasi-elliptic surfaces in characteristic 2
• Complexe de de\thinspace Rham-Witt et cohomologie cristalline

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