The T¹-lifting theorem in positive characteristic

2001/02/28 by Stefan Schroeer
Mathematics · #math.AG #msc:14D06 #msc:14F40 #msc:14J32 #msc:32G05

paper · pdf

published as J. Algebraic Geom. 12 (2003), 699-714 · 13 pages, minor changes, to appear in J. Algebraic Geom

arxiv created 2001/09/01 · arxiv updated 2009/11/30

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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