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arxiv: math/0102203 · v2 · submitted 2001-02-26 · 🧮 math.AG

The T¹-lifting theorem in positive characteristic

classification 🧮 math.AG
keywords characteristicliftingpowerstheoremcalabi-yaucertaincohomologycombined
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Replacing symmetric powers by divided powers and working over Witt vectors instead of ground fields, I generalize Kawamatas T^1-lifting theorem to characteristic p>0. Combined with the work of Deligne-Illusie on degeneration of the Hodge-de Rham spectral sequences, this gives unobstructedness for certain Calabi-Yau varieties with free crystalline cohomology modules.

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