43 citations · 128 across the 47 of their papers we have counts for
65 papers
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…
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…
Kato's Ramification filtration via de Rham-Witt complex and applications
Amalendu Krishna, Subhadip Majumder
Given an -finite regular scheme of positive characteristic and a simple normal crossing divisor on , we introduce a filtration on the de Rham-Witt complex $W_mΩ^\bull…
Brauer group of varieties over local fields of finite characteristic
Amalendu Krishna, Subhadip Majumder
We show that the nonlogarithmic version of Kato's ramification filtration on the Brauer group of a separated regular scheme of finite type over a henselian discrete valuation field…
Thomason's completion for K-theory and cyclic homology of quotient stacks
Amalendu Krishna, Ritankar Nath
We prove several completion theorems for equivariant K-theory and cyclic homology of schemes with group action over a field. One of these shows that for an algebraic space over a f…
Class field theory for curves over local fields
Amalendu Krishna, Subhadip Majumder
We establish a ramified class field theory for smooth projective curves over local fields. As key steps in the proof, we obtain new results in the class field theory for 2-dimensio…