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The T1-lifting theorem in positive characteristic

Stefan Schroeer

math.AGarXiv:math/0102203

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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