Zobrazeno 1 - 5
of 5
pro vyhledávání: '"Maria Yakerson"'
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
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
Autor:
Maria Yakerson, Tom Bachmann
Publikováno v:
Geometry & Topology. 24:1969-2034
We study the interplay of the homotopy coniveau tower, the Rost–Schmid complex of a strictly homotopy invariant sheaf, and homotopy modules. For a strictly homotopy invariant sheaf M, smooth k–scheme X and q≥0, we construct a new cycle complex
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ec9cb0c289679327d2e9c44ba1f388ea
https://doi.org/10.2140/gt.2020.24.1969
https://doi.org/10.2140/gt.2020.24.1969
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