English

The T^1-lifting theorem in positive characteristic

Algebraic Geometry 2007-05-23 v2

Abstract

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.

Keywords

Cite

@article{arxiv.math/0102203,
  title  = {The T^1-lifting theorem in positive characteristic},
  author = {Stefan Schroeer},
  journal= {arXiv preprint arXiv:math/0102203},
  year   = {2007}
}

Comments

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

R2 v1 2026-07-22T16:37:29.428Z