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11 votes
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Prisms and Hodge-Tate comparisons

tl;dr The Hodge-Tate comparison isomorphism relates the reduction mod $I$ of prismatic cohomology to something similar to the "Hodge-Tate cohomology" $\bigoplus_{i+j = k} H^i(X, \Omega^j_{X/K})$. Toge …
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9 votes
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Is there a version of algebraic de Rham cohomology that can be used to calculate torsion cla...

You should read the introduction to Bhargav Bhatt's lecture notes on prismatic cohomology: available here. This is a new cohomology theory introduced by Bhatt-Scholze (closely related to prior work by …
dorebell's user avatar
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