collaborators

4 papers

math.AG2026

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)^{\t…

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…

math.AG2026

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…

math.AG2025

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…