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- W4322825243 abstract "The goal of this note is to prove that Hodge-de Rham degeneration holds for smooth and proper $mathbf{F}_p$-schemes $X$ with $dim(X)<p^n$ as soon as its category of quasicoherent sheaves admits a lift to the truncated Brown-Peterson spectrum $mathrm{BP}langle n-1rangle$, and the Hochschild-Kostant-Rosenberg spectral sequence for $X$ degenerates at the $E_2$-page. This is obtained from a noncommutative version, whose proof is essentially the same as Mathew's argument in arXiv:1710.09045." @default.
- W4322825243 created "2023-03-03" @default.
- W4322825243 creator A5025668602 @default.
- W4322825243 date "2023-03-01" @default.
- W4322825243 modified "2023-09-27" @default.
- W4322825243 title "Lifting to truncated Brown-Peterson spectra and Hodge-de Rham degeneration in characteristic $p>0$" @default.
- W4322825243 doi "https://doi.org/10.48550/arxiv.2303.00739" @default.
- W4322825243 hasPublicationYear "2023" @default.
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