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arXiv · 2008.04956

Prismatic cohomology and de Rham-Witt forms

Semen Molokov
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Abstract

For any prism $(A, d)$, we construct an analogue of Fontaine's map $W_r(A/d) \to A/d\phi(d)\cdots\phi^{r-1}(d)$. Subsequently, we define a canonical map from de Rham-Witt forms to prismatic cohomology in the perfect case and prove that it is an isomorphism. Using this result, we obtain an explicit description of the prismatic cohomology for a $p$-completed polynomial algebra over $A/d$.

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Semen Molokov. 2020-08-11. Prismatic cohomology and de Rham-Witt forms. https://arxiv.org/abs/2008.04956

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