3 papers
math.AG2026
On de Rham--Witt Cohomology of Classifying Stacks
Shizhang Li, Yuan Yang
We give an example of proper smooth fourfold over a perfect field k of characteristic p > 0 with asymmetric Hodge--Witt numbers in total degree 3. Our example is sharp both in term…
math.AG2025
Frobenius height of prismatic cohomology with coefficients
Haoyang Guo, Shizhang Li
We study the behavior of Frobenius operators on smooth proper pushforwards of prismatic F-crystals. In particular we show that the i-th pushforward has its Frobenius height increas…
math.AG2025
Bounding crystalline torsion from étale torsion
Ofer Gabber, Shizhang Li
In this note, we prove that given a smooth proper family over a -adic ring of integers, one gets a control of its crystalline torsion in terms of its étale torsion, the cohomol…