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math.AG2025
Algebraic Zhou valuations
Shijie Bao, Qi'an Guan, Lin Zhou
In this paper, we generalize Zhou valuations, originally defined on complex domains, to the framework of general schemes. We demonstrate that an algebraic version of the Jonsson--M…
math.AG2025
Torsion higher Chow cycles modulo
Theodosis Alexandrou, Lin Zhou
We study the injectivity property of certain actions of higher Chow groups on refined unramified cohomology. As an application for every and for each and $n\ge…
math.AG2025
On the functoriality of refined unramified cohomology
Kees Kok, Lin Zhou
In this paper, we generalise the construction of the functorial pullback of refined unramified cohomology between smooth schemes, by following the ideas of Fulton's intersection th…