4 papers
Arithmetic Cycles with Modulus
Souvik Goswami, Rahul Gupta
We add analytic components to algebraic cycles with modulus and define an arithmetic Chow group with modulus that resembles the classical arithmetic Chow groups by Gillet and SoulÃ…
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…
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…
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…