6 citations · 16 across the 11 of their papers we have counts for
13 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…
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…
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 Soulé…
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…
A decomposition theorem for 0-cycles and applications
Rahul Gupta, Amalendu Krishna, Jitendra Rathore
We prove a decomposition theorem for the cohomological Chow group of 0-cycles on the double of a quasi-projective -scheme over a field along a closed subscheme, in terms of th…
Ramified class field theory and duality over finite fields
Rahul Gupta, Amalendu Krishna
We prove a duality theorem for the -adic etale motivic cohomology of a variety which is the complement of a divisor on a smooth projective variety over $\F_p$. This extends…