Some Calabi-Yau threefolds with obstructed deformations over the Witt vectors
classification
🧮 math.AG
keywords
characteristicthreefoldscalabi-yausomesurfacesabeliananalysisconstruct
read the original abstract
I construct some smooth Calabi-Yau threefolds in characteristic two and three that do not lift to characteristic zero. These threefolds are pencils of supersingular K3-surfaces. The construction depends on Moret-Bailly's pencil of abelian surfaces and Katsura's analysis of generalized Kummer surfaces. The threefold in characteristic two turns out to be nonrigid.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.