5 papers
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…
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…
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^\bul…
Tame class field theory over local fields
Rahul Gupta, Amalendu Krishna, Jitendra Rathore
For a quasi-projective scheme admitting a smooth compactification over a local field of residue characteristic , we construct a continuous reciprocity homomorphism from…
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…