Desingularized fiber products of semi-stable elliptic surfaces with vanishing third Betti number

DOI10.1112/S0010437X08003801zbMath1163.14006arXiv0804.1078OpenAlexW3105863088MaRDI QIDQ3616542

Chad Schoen

Publication date: 25 March 2009

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0804.1078

zbMATH Keywords

nonliftable threefolds

Mathematics Subject Classification ID

Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Fibrations, degenerations in algebraic geometry (14D06)

Related Items (10)

Crystals of relative displays and Calabi-Yau threefolds ⋮ Quasi-Frobenius splitting and lifting of Calabi-Yau varieties in characteristic \(p\) ⋮ Invariants of Regular Models of the Product of Two Elliptic Curves at a Place of Multiplicative Reduction ⋮ Torsion in the cohomology of desingularized fiber products of elliptic surfaces ⋮ On the birational nature of lifting ⋮ The geometric genus of a desingularized fiber product of elliptic surfaces ⋮ On Kodaira type vanishing for Calabi-Yau threefolds in positive characteristic ⋮ Non-liftable Calabi-Yau spaces ⋮ Small resolutions and non-liftable Calabi-Yau threefolds ⋮ Kodaira Type Vanishing Theorem for the Hirokado Variety

Cites Work

• On fiber products of rational elliptic surfaces with section
• On extremal rational elliptic surfaces
• La conjecture de Weil. II
• Extremal rational elliptic surfaces in characteristic \(p\). I: Beauville surfaces
• On unirationality of supersingular surfaces
• On unirationality of extremal elliptic surfaces
• Extremal elliptic surfaces in characteristic 2 and 3
• A non-liftable Calabi-Yau threefold in characteristic 3
• Algebraization of formal moduli. II: Existence of modifications
• Complex varieties for which the Chow group mod $n$ is not finite
• Some Calabi–Yau threefolds with obstructed deformations over the Witt vectors
• Calabi-Yau threefolds obtained as fiber products of elliptic and quasi-elliptic rational surfaces

This page was built for publication: Desingularized fiber products of semi-stable elliptic surfaces with vanishing third Betti number