The T^1-lifting theorem in positive characteristic

Details The T^1-lifting theorem in positive characteristic The T^1-lifting theorem in positive characteristic

2001-02-26

arxiv.org/abs/math/0102203v2

J. Algebraic Geom. 12 (2003), 699-714

Mathematics

Algebraic Geometry

13 pages, minor changes, to appear in J. Algebraic Geom

Scientific paper

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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