Zobrazeno 1 - 10
of 107
pro vyhledávání: '"Hogadi, Amit"'
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
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
Autor:
Choudhury, Utsav, Hogadi, Amit
Publikováno v:
Ann. K-Th. 7 (2022) 179-190
For an $\A^1$-connected pointed simplicial sheaf $\sX$ over a perfect field $k$, we prove that the Hurewicz map $\pi_1^{\A^1}(\sX) \to H_1^{\A^1}(\sX)$ is surjective. We also observe that the Hurewicz map for $\P^1_k$ is the abelianisation map. In th
Externí odkaz:
http://arxiv.org/abs/2101.01489
Publikováno v:
Ann. K-Th. 8 (2023) 245-273
We construct the motive of an algebraic stack in the Nisnevich topology. For stacks which are Nisnevich locally quotient stacks, we give a presentation of the motive in terms of simplicial schemes. We also show that for quotient stacks the motivic co
Externí odkaz:
http://arxiv.org/abs/2012.13304
Following Schmidt and Strunk, we give a proof of Gabber presentation lemma over a noetherian domain with infinite residue fields.
Comment: Some cosmetic changes. Final Version. To appear in Journal of Algebra
Comment: Some cosmetic changes. Final Version. To appear in Journal of Algebra
Externí odkaz:
http://arxiv.org/abs/1906.09931