7 citations · 28 across the 18 of their papers we have counts for
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Comparison of prismatic cohomology and derived de Rham cohomology
Shizhang Li, Tong Liu
We establish a comparison isomorphism between prismatic cohomology and derived de Rham cohomology respecting various structures, such as their Frobenius actions and filtrations. As…
Period sheaves via derived de Rham cohomology
Haoyang Guo, Shizhang Li
In this article we give an interpretation, in terms of derived de Rham complexes, of Scholze's de Rham period sheaf and Tan--Tong's crystalline period sheaf.
A counterexample to an optimistic guess about étale local systems
Brian Lawrence, Shizhang Li
In p-adic Hodge theory, it is known that if a Galois representation is de Rham, then it becomes semistable after extension of the base field. Liu and Zhu asked whether a correspond…
Integral p-adic Hodge filtrations in low dimension and ramification
Shizhang Li
Given an integral p-adic variety, we observe that if the integral Hodge--de Rham spectral sequence behaves nicely, then the special fiber knows the Hodge numbers of the generic fib…