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math.AG2021
Exponentially twisted de Rham cohomology and rigid cohomology
Shizhang Li, Dingxin Zhang
We prove a comparison theorem between exponentially twisted de Rham cohomology and rigid cohomology with coefficients in a Dwork crystal.
math.AG2021★ 1 cited
On endomorphisms of the de Rham cohomology functor
Shizhang Li, Shubhodip Mondal
We compute the moduli of endomorphisms of the de Rham and crystalline cohomology functors, viewed as a cohomology theory on smooth schemes over truncated Witt vectors. As applicati…
math.AG2021
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…