Author

Matthew Ward

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Preprint Oct 2026

All Strict Calabi--Yau Threefolds of Height One Lift to Characteristic 0

We prove that every strict Calabi--Yau threefold of Artin--Mazur height one over an algebraically closed field k of characteristic p>0 admits a projective lift to W(k). No assumption is made on the torsion in its crystalline cohomology, and p is arbitrary. Using the crystalline period map of Brantner and Taelman, we sh...

Matthew Ward · 1 citation · ⚡1