Zobrazeno 1 - 10
of 27
pro vyhledávání: '"Vladimir Sosnilo"'
Publikováno v:
Épijournal de Géométrie Algébrique, Vol Volume 5 (2021)
We obtain geometric models for the infinite loop spaces of the motivic spectra $\mathrm{MGL}$, $\mathrm{MSL}$, and $\mathbf{1}$ over a field. They are motivically equivalent to $\mathbb{Z}\times \mathrm{Hilb}_\infty^\mathrm{lci}(\mathbb{A}^\infty)^+$
Externí odkaz:
https://doaj.org/article/c33b7305e536426480166b1e6e37b025
Publikováno v:
Forum of Mathematics, Pi, Vol 8 (2020)
We prove that the $\infty $-category of $\mathrm{MGL} $-modules over any scheme is equivalent to the $\infty $-category of motivic spectra with finite syntomic transfers. Using the recognition principle for infinite $\mathbf{P} ^1$-loop spaces, we de
Externí odkaz:
https://doaj.org/article/ec3170461b7743b495d0448daf558807
Autor:
Vladimir Sosnilo, Mikhail V. Bondarko
Publikováno v:
Transactions of the American Mathematical Society
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f1a76abe1549653276b8c2e8556268cc
https://doi.org/10.1090/tran/8467
https://doi.org/10.1090/tran/8467
Autor:
Elden Elmanto, Vladimir Sosnilo
Publikováno v:
International Mathematics Research Notices. 2022:16569-16633
We do three things in this paper: (1) study the analog of localization sequences (in the sense of algebraic $K$-theory of stable $\infty $-categories) for additive $\infty $-categories, (2) define the notion of nilpotent extensions for suitable $\inf
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6e503334cb99939ce454bee9830317bf
https://doi.org/10.1093/imrn/rnab179
https://doi.org/10.1093/imrn/rnab179
Autor:
Adeel A. Khan, Vladimir Sosnilo
Publikováno v:
The Quarterly Journal of Mathematics. 73:23-44
We study regularity in the context of connective ring spectra and spectral stacks. Parallel to that, we construct a weight structure on the category of compact quasi-coherent sheaves on spectral quotient stacks of the form $X=[\operatorname{Spec} R/G
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ad60d75f9a66f966b62cb51be9584f97
https://doi.org/10.1093/qmath/haab017
https://doi.org/10.1093/qmath/haab017
Publikováno v:
Cambridge Journal of Mathematics. 9:431-549
We prove a recognition principle for motivic infinite P1-loop spaces over a perfect field. This is achieved by developing a theory of framed motivic spaces, which is a motivic analogue of the theory of E-infinity-spaces. A framed motivic space is a m
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fafa40e4e51802d1c656d7693613dbea
https://doi.org/10.4310/cjm.2021.v9.n2.a3
https://doi.org/10.4310/cjm.2021.v9.n2.a3
Publikováno v:
Journal of Topology. 13:460-500
We relate the recognition principle for infinite $\mathbf P^1$-loop spaces to the theory of motivic fundamental classes of D\'eglise, Jin, and Khan. We first compare two kinds of transfers that are naturally defined on cohomology theories represented
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ca5d714f70a9da8d8f1dec6d0c4dd39b
https://doi.org/10.1112/topo.12134
https://doi.org/10.1112/topo.12134
Autor:
Mikhail V. Bondarko, Vladimir Sosnilo
Publikováno v:
Journal of Algebra. 535:407-455
This paper is dedicated to new methods of constructing weight structures and weight-exact localizations; our arguments generalize their bounded versions considered in previous papers of the authors. We start from a class of objects P of a triangulate
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::08506d4c059a0c6d3c5dc2843ed137ba
https://doi.org/10.1016/j.jalgebra.2019.07.003
https://doi.org/10.1016/j.jalgebra.2019.07.003
Publikováno v:
Sbornik: Mathematics. 210:1222-1258
A theory of higher colimits over categories of free presentations is developed. It is shown that different homology functors such as Hoshcshild and cyclic homology of algebras over a field of characteristic zero, simplicial derived functors, and grou
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d49b5a5257af31dfdb0e51a3c2d88fcc
https://doi.org/10.1070/sm9152
https://doi.org/10.1070/sm9152
Publikováno v:
Математический сборник. 210:19-58
Развита теория высших копределов по категориям копредставлений. Показано, что различные гомологические функторы такие, как хохшильдов
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0172734d95a37070d9668b1ef5c5387b
https://doi.org/10.4213/sm9152
https://doi.org/10.4213/sm9152