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…
Idele class groups with modulus
Rahul Gupta, Amalendu Krishna
We prove Bloch's formula for the Chow group of 0-cycles with modulus on smooth projective varieties over finite fields. The proof relies on two new results in global ramification t…
Motivic invariants of symmetric powers of curves
Rahul Gupta
We study the structure of various invariants of the symmetric powers of a smooth projective curve in terms of that of the Jacobian of the curve. We generalise the results of Macdon…
Reciprocity for Kato-Saito idele class group with modulus
Rahul Gupta, Amalendu Krishna
We introduce an etale fundamental group with modulus and construct a reciprocity homomorphism from the Kato-Saito idele class group with modulus to this fundamental group. This is…
Relative -theory via 0-cycles in finite characteristic
Rahul Gupta, Amalendu Krishna
Let be a regular semi-local ring, essentially of finite type over an infinite perfect field of characteristic . We show that the cycle class map with modulus from an e…
Zero-cycles with modulus and relative -theory
Rahul Gupta, Amalendu Krishna
We construct a cycle class map from the higher Chow groups of 0-cycles to the relative -theory of a modulus pair. We show that this induces a pro-isomorphism between the additiv…
K-theory and 0-cycles on schemes
Rahul Gupta, Amalendu Krishna
We prove Bloch's formula for 0-cycles on affine schemes over algebraically closed fields. We prove this formula also for projective schemes over algebraically closed fields which a…
A Moments' Analysis of Quasi-Exactly Solvable Systems: A New Perspective on the Sextic Anharmonic and Bender-Dunne Potentials
Carlos R. Handy, Daniel Vrinceanu, Rahul Gupta
There continues to be great interest in understanding quasi-exactly solvable (QES) systems. In one dimension, QES states assume the form , where ${\cal…