2003/06/30 by Torsten Ekedahl, Ekedahl, Torsten, Nick I. Shepherd-Barron +2
Engineering · Materials Science · Mathematics · #14B12 #14J32 #Advanced Theoretical and Applied Studies in Material Sciences and Geometry #Algebraic Geometry (math.AG) #Engineering Technology and Methodologies #FOS: Mathematics #Material Properties and Applications #math.AG #msc:14B12 #msc:14J32
paper · pdf · doi:10.48550/arxiv.math/0306432
17 pages
arxiv created 2003/06/30 · openalex publication_date 2003/06/30 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This article presents a new approach to the unobstructedness result for deformations of Calabi-Yau varieties by introducing the tangent lifting property for a functor on artinian local algebras. The verification that the deformation functor of a Calabi-Yau variety in characteristic 0 fulfills the tangent lifting property uses, just as the verification of the T1-lifting property, the degeneration of the Hodge to de Rham spectral sequence. Our main use of our methods is however to the mixed characteristic case. In that case to be able to verify the conditions needed one needs an extension of the criterion introducing divided powers.