1 citations · 1 across the 6 of their papers we have counts for
6 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…
Zero-cycles on quasi-projective surfaces over -adic fields
Evangelia Gazaki, Jitendra Rathore
A conjecture of Colliot-Thélène predicts that for a smooth projective variety over a finite extension of the kernel of the Albanese map $\text{CH}_0(X)^{\tex…
Torsion in abelian fundamental group and its application
Rahul Gupta, Jitendra Rathore
We prove that the torsion subgroup of the abelian fundamental group is finite for a regular geometrically integral projective variety over a local field. We also study the structur…
Duality for cohomology of split tori on curves over local fields
Amalendu Krishna, Jitendra Rathore, Samiron Sadhukhan
We prove duality theorems for the {é}tale cohomology of logarithmic Hodge-Witt sheaves and split tori on smooth curves over a local field of positive characteristic. As an applicat…
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…