Mathematics – Algebraic Geometry
Scientific paper
2003-06-30
Mathematics
Algebraic Geometry
17 pages
Scientific paper
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 $T^1$-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.
Ekedahl Torsten
Shepherd-Barron Nick I.
No associations
LandOfFree
Tangent lifting of deformations in mixed characteristic does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Tangent lifting of deformations in mixed characteristic, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Tangent lifting of deformations in mixed characteristic will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-185913