Kodaira Type Vanishing Theorem for the Hirokado Variety

DOI10.1080/00927872.2013.823546zbMath1319.14023arXiv1204.1622OpenAlexW2050257486MaRDI QIDQ5495276

Yukihide Takayama

Publication date: 31 July 2014

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.1622

Mathematics Subject Classification ID

Vanishing theorems in algebraic geometry (14F17) Grassmannians, Schubert varieties, flag manifolds (14M15) Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Positive characteristic ground fields in algebraic geometry (14G17)

Related Items (2)

Degenerations of log Hodge de Rham spectral sequences, log Kodaira vanishing theorem in characteristic \(p>0\) and log weak Lefschetz conjecture for log crystalline cohomologies ⋮ On Kodaira type vanishing for Calabi-Yau threefolds in positive characteristic

Cites Work

• Non-liftable Calabi-Yau spaces
• Calabi-Yau threefolds arising from fiber products of rational quasi-elliptic surfaces. I
• Lectures on curves, surfaces and projective varieties. A classical view of algebraic geometry. Transl. from the Italian by Francis Sullivan
• Small resolutions and non-liftable Calabi-Yau threefolds
• Relèvements modulo \(p^ 2\) et décomposition du complexe de de Rham. (Lifting modulo \(p^ 2\) and decomposition of the de Rham complex)
• Canonical models of surfaces of general type in positive characteristic
• Counterexamples to Kodaira's vanishing and Yau's inequality in positive characteristics
• Calabi-Yau threefolds arising from fiber products of rational quasi-elliptic surfaces. II
• Raynaud-Mukai construction and Calabi-Yau threefolds in positive characteristic
• Pre-Tango structures and uniruled varieties
• Desingularized fiber products of semi-stable elliptic surfaces with vanishing third Betti number
• Some Calabi–Yau threefolds with obstructed deformations over the Witt vectors
• On the Behavior of Extensions of Vector Bundles Under the Frobenius Map

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