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math.AG2026
Unramified cohomology and Brauer--Manin pairing
Amalendu Krishna, Jitendra Rathore
We show that the Tate module of the -adic unramified cohomology $H^3_{\nr}(X, {\Q_\ell}/{\Z_\ell})$ of a smooth projective surface over a local or strictly local field $k…
math.AG2026
Motivic Cohomology and K-groups of varieties over higher local fields
Rahul Gupta, Amalendu Krishna, Jitendra Rathore
For quasi-projective varieties over a higher local field , we prove that its -groups, above a suitable degree, are divisible-by-finite. We also prove the finiteness of the…