The T^1lifting theorem in positive characteristic
Abstract
Replacing symmetric powers by divided powers and working over Witt vectors instead of ground fields, I generalize Kawamatas T^1lifting theorem to characteristic p>0. Combined with the work of DeligneIllusie on degeneration of the Hodgede Rham spectral sequences, this gives unobstructedness for certain CalabiYau varieties with free crystalline cohomology modules.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 February 2001
 arXiv:
 arXiv:math/0102203
 Bibcode:
 2001math......2203S
 Keywords:

 Algebraic Geometry;
 14D06;
 14F40;
 14J32;
 32G05
 EPrint:
 13 pages, minor changes, to appear in J. Algebraic Geom