1 citations · 1 across the 3 of their papers we have counts for
5 papers
On the u^{\infty}-torsion submodule of prismatic cohomology
Shizhang Li, Tong Liu
We investigate the maximal finite length submodule of the Breuil-Kisin prismatic cohomology of a smooth proper formal scheme over a p-adic ring of integers. This submodule governs…
Totaro's inequality for classifying spaces
Bhargav Bhatt, Shizhang Li
For a complex Lie group G and a prime number p, Totaro had conjectured that the dimension of the singular cohomology with Z/p-coefficients of classifying space of G is bounded abov…
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…
An example of liftings with different Hodge numbers
Shizhang Li
In this paper, we exhibit an example of a smooth proper variety in positive characteristic possessing two liftings with different Hodge numbers.