Abstract
Displays can be thought of as relative versions of Fontaine's notion of strongly divisible lattice from integral p-adic Hodge theory. In favourable circumstances, the crystalline cohomology of a smooth projective R-scheme X is endowed with a display-structure coming from complexes associated with the relative de Rham-Witt complex WΩX/R• of [LZ04]. In this article, we use the crystal of relative displays of [GL21] to prove a Grothendieck-Messing type result for the deformation theory of Calabi-Yau threefolds.
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