The T1-lifting theorem in positive characteristic
Abstract
Replacing symmetric powers by divided powers and working over Witt vectors instead of ground fields, I generalize Kawamatas T1-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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