Zobrazeno 1 - 10
of 132
pro vyhledávání: '"Park, Jinhyun"'
Autor:
Park, Jinhyun, Pelaez, Pablo
We construct two functorial filtrations on the algebraic $K$-theory of schemes of finite type over a field $k$ that may admit arbitrary singularities and may be non-reduced, one called the coniveau filtration, and the other called the motivic conivea
Externí odkaz:
http://arxiv.org/abs/2112.14360
Autor:
Park, Jinhyun
We construct an algebraic-cycle based model for the motivic cohomology on the category of schemes of finite type over a field, where schemes may admit arbitrary singularities and may be non-reduced. We show that our theory is functorial on the catego
Externí odkaz:
http://arxiv.org/abs/2108.13594
Autor:
Park, Jinhyun
We present a formal scheme based cycle model for the motivic cohomology of the fat points defined by the truncated polynomial rings $k[t]/(t^m)$ with $m \geq 2$, in one variable over a field $k$. We compute their Milnor range cycle class groups when
Externí odkaz:
http://arxiv.org/abs/2108.13563
Autor:
Park, Jinhyun
We give a purely cubical argument for the localization theorem for the cubical version of higher Chow groups.
Comment: 25 pages, 3 tikz figures/ v2: minor changes. This is not the final accepted version due to copyright reason. A fully revised v
Comment: 25 pages, 3 tikz figures/ v2: minor changes. This is not the final accepted version due to copyright reason. A fully revised v
Externí odkaz:
http://arxiv.org/abs/2108.13561
Autor:
Krishna, Amalendu, Park, Jinhyun
Publikováno v:
Alg. Number Th. 14 (2020) 991-1054
We prove a moving lemma for the additive and ordinary higher Chow groups of relative $0$-cycles of regular semi-local $k$-schemes essentially of finite type over an infinite perfect field. From this, we show that the cycle classes can be represented
Externí odkaz:
http://arxiv.org/abs/1806.08045
Autor:
Park, Jinhyun, Ünver, Sinan
We introduce a new algebraic-cycle model for the motivic cohomology theory of truncated polynomials $k[t]/(t^m)$ in one variable. This approach uses ideas from the deformation theory and non-archimedean analysis, and is distinct from the approaches v
Externí odkaz:
http://arxiv.org/abs/1803.01463
Autor:
Krishna, Amalendu, Park, Jinhyun
We prove a moving lemma for higher Chow groups with modulus, in the sense of Binda-Kerz-Saito, of projective schemes when the modulus is given by a very ample divisor. This provides one of the first cases of moving lemmas for cycles with modulus, not
Externí odkaz:
http://arxiv.org/abs/1507.05429
We show that the additive higher Chow groups of regular schemes over a field induce a Zariski sheaf of pro-differential graded algebras, whose Milnor range is isomorphic to the Zariski sheaf of big de Rham-Witt complexes. This provides an explicit cy
Externí odkaz:
http://arxiv.org/abs/1504.08181
Autor:
Krishna, Amalendu, Park, Jinhyun
We show that the multivariate additive higher Chow groups of a smooth affine $k$-scheme $\Spec (R)$ essentially of finite type over a perfect field $k$ of characteristic $\not = 2$ form a differential graded module over the big de Rham-Witt complex $
Externí odkaz:
http://arxiv.org/abs/1504.08185
Autor:
Krishna, Amalendu, Park, Jinhyun
We show that the higher Chow groups with modulus of Binda-Kerz-Saito for a smooth quasi-projective scheme $X$ is a module over the Chow ring of $X$. From this, we deduce certain pull-backs, the projective bundle formula, and the blow-up formula for h
Externí odkaz:
http://arxiv.org/abs/1412.7396