2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/61006Replacing 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.13 pages, minor changes, to appear in J. Algebraic GeomAlgebraic Geometry14D06, 14F40, 14J32, 32G05The T^1-lifting theorem in positive characteristictext