Zobrazeno 1 - 10
of 113
pro vyhledávání: '"Hogadi Amit"'
We develop a motivic cohomology theory, representable in the Voevodsky's triangulated category of motives, for smooth separated Deligne-Mumford stacks and show that the resulting higher Chow groups are canonically isomorphic to the higher $K$-theory
Externí odkaz:
http://arxiv.org/abs/2412.05071
We consider the notion of finite type-ness of a site introduced by Morel and Voevodsky, for the \'etale site of a field. For a given field $k$, we conjecture that the \'etale site of $Sm/k$ is of finite type if and only if the field $k$ admits a fini
Externí odkaz:
http://arxiv.org/abs/2405.06612
Publikováno v:
Open Mathematics, Vol 12, Iss 8, Pp 1157-1163 (2014)
Externí odkaz:
https://doaj.org/article/a1b5639f0f4a4815a6fe91d70bf20792
Publikováno v:
Open Mathematics, Vol 10, Iss 4, Pp 1300-1305 (2012)
Externí odkaz:
https://doaj.org/article/31e4f4568c8849da9e01aac7a8a982cd
We show that the sheaf of $\mathbb A^1$-connected components of a reductive algebraic group over a perfect field is strongly $\mathbb A^1$-invariant. As a consequence, torsors under such groups give rise to $\mathbb A^1$-fiber sequences. We also show
Externí odkaz:
http://arxiv.org/abs/2205.07527
The definition of Milnor-Witt cycle modules in [Feld, N., Milnor-Witt cycle modules, Journal of Pure and Applied Algebra 224 (2020) 106298] can easily be adapted over general regular base schemes. However, there are simple examples to show that Gerst
Externí odkaz:
http://arxiv.org/abs/2203.07801
We prove the Grothendieck-Serre conjecture for quasi-split reductive groups schemes. Our method involves reducing to the Borel subgroup in order to conclude the result from purity for tori and the structure theorem for unipotent radicals of parabolic
Externí odkaz:
http://arxiv.org/abs/2110.14745
Autor:
Hogadi, Amit, Yadav, Suraj
In this note we prove that the moduli stack of vector bundles on a curve, with a fixed determinant is $\mathbb{A}^1$-connected. We obtain this result by classifying vector bundles on a curve upto $\mathbb{A}^1$-concordance. Consequently we classify$\
Externí odkaz:
http://arxiv.org/abs/2110.05799
Publikováno v:
Manuscripta Mathematica (2022)
For a local complete intersection morphism, we establish fiberwise denseness in the $n$-dimensional irreducible components of the compactification Nisnevich locally.
Comment: 8 pages. arXiv admin note: text overlap with arXiv:1906.09931
Comment: 8 pages. arXiv admin note: text overlap with arXiv:1906.09931
Externí odkaz:
http://arxiv.org/abs/2105.05928
We show that $\mathbb A^1$-connectedness of a large class of varieties over a field $k$ can be characterized as the condition that their generic point can be connected to a $k$-rational point using (not necessarily naive) $\mathbb A^1$-homotopies. We
Externí odkaz:
http://arxiv.org/abs/2102.05344