Abstract:In our series of papers, we prove that smooth Fano threefolds in positive characteristic lift to the ring of Witt vectors. Moreover, we show that they satisfy Akizuki-Nakano vanishing, $E_1$-degeneration of the Hodge to de Rham spectral sequence, and torsion-freeness of Crystalline cohomologies. In this paper, we establish these results for the case when $|-K_X|$ is very ample and the Picard group is generated by $\omega_X$.
From: Tatsuro Kawakami [view email]
[v1]
Thu, 13 Mar 2025 10:27:09 UTC (98 KB)
[v2]
Thu, 18 Jun 2026 09:13:23 UTC (116 KB)
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