Zobrazeno 1 - 10
of 181
pro vyhledávání: '"Krishna, Amalendu"'
Autor:
Krishna, Amalendu, Majumder, Subhadip
We establish a ramified class field theory for smooth projective curves over local fields. As key steps in the proof, we obtain new results in the class field theory for 2-dimensional local fields of positive characteristic, and prove a duality theor
Externí odkaz:
http://arxiv.org/abs/2307.15416
We prove duality theorems for the {\'e}tale cohomology of logarithmic Hodge-Witt sheaves and split tori on smooth curves over a local field of positive characteristic. As an application, we obtain a description of the Brauer group of the function fie
Externí odkaz:
http://arxiv.org/abs/2302.06069
For a quasi-projective scheme $X$ admitting a smooth compactification over a local field of residue characteristic $p > 0$, we construct a continuous reciprocity homomorphism from a tame class group to the abelian tame etale fundamental group of $X$.
Externí odkaz:
http://arxiv.org/abs/2209.02953
Autor:
Binda, Federico, Krishna, Amalendu
We show that for a smooth projective variety $X$ over a field $k$ and a reduced effective Cartier divisor $D \subset X$, the Chow group of 0-cycles with modulus $\mathrm{CH}_0(X|D)$ coincides with the Suslin homology $H^S_0(X \setminus D)$ under some
Externí odkaz:
http://arxiv.org/abs/2202.06808
Publikováno v:
Transactions of the American Mathematical Society, Series B. 7/19/2024, Vol. 11, p945-1014. 70p.
We prove a decomposition theorem for the cohomological Chow group of 0-cycles on the double of a quasi-projective $R_1$-scheme over a field along a closed subscheme, in terms of the Chow groups, with and without modulus, of the scheme. This yields a
Externí odkaz:
http://arxiv.org/abs/2109.10037
Autor:
Binda, Federico, Krishna, Amalendu
We compare various groups of 0-cycles on quasi-projective varieties over a field. As applications, we show that for certain singular projective varieties, the Levine-Weibel Chow group of 0-cycles coincides with the corresponding Friedlander-Voevodsky
Externí odkaz:
http://arxiv.org/abs/2104.07968
Autor:
Gupta, Rahul, Krishna, Amalendu
We prove a duality theorem for the $p$-adic etale motivic cohomology of a variety $U$ which is the complement of a divisor on a smooth projective variety over $\F_p$. This extends the duality theorems of Milne and Jannsen-Saito-Zhao. The duality intr
Externí odkaz:
http://arxiv.org/abs/2104.03029
Autor:
Gupta, Rahul, Krishna, Amalendu
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 theory.
Comment: 58 pages, final version. To appear in Advances in
Comment: 58 pages, final version. To appear in Advances in
Externí odkaz:
http://arxiv.org/abs/2101.04609
Autor:
Ghosh, Mainak, Krishna, Amalendu
We prove an extension of the Kato-Saito class field theory for smooth projective schemes over a finite field to schemes with singularities. As an application, we obtain Bloch's formula for the Chow groups of 0-cycles on such schemes. We identify the
Externí odkaz:
http://arxiv.org/abs/2012.11249