Norms in motivic homotopy theory
Web7 de abr. de 2024 · In this paper, we initiate a study of motivic homotopy theory at infinity. We use the six functor formalism to give an intrinsic definition of the stable motivic homotopy type at infinity of an algebraic variety. Our main computational tools include cdh-descent for normal crossing divisors, Euler classes, Gysin maps, and homotopy purity. … Web17 de jan. de 2024 · January 2024; Authors: Aaron Mazel-Gee
Norms in motivic homotopy theory
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Web8 de nov. de 2024 · DOI: 10.24033/ast.1147 Corpus ID: 119629716; Norms in motivic homotopy theory @article{Bachmann2024NormsIM, title={Norms in motivic … Web1 de jan. de 2004 · Inverting the stable motivic equivalences as in [Jar00] one obtains the motivic stable homotopy category SH (S). See [V98,MV99, Mor04] as an introduction to the motivic homotopy theory and as a ...
Web21 de nov. de 2024 · Morel and Voevoedsky developed what is now called motivic homotopy theory, which aims to apply techniques of algebraic topology to algebraic varieties and, … Web19 de set. de 2024 · Algebra Seminar: Norms and Transfers in Motivic Homotopy Theory. Monday, September 19, 2024 3:30pm to 4:30pm. Add to My Plans. About this Event. Kaprielian Hall (KAP), 245 View map. Add to calendar.
Web8 de nov. de 2024 · Norms in motivic homotopy theory. Tom Bachmann, Marc Hoyois. If is a finite locally free morphism of schemes, we construct a symmetric monoidal "norm" … WebSummary. In this paper, we study the Nisnevich sheafification é H ét 1 ( G) of the presheaf associating to a smooth scheme the set of isomorphism classes of G -torsors, for a reductive group G. We show that if G -torsors on affine lines are extended, then é H ét 1 ( G) is homotopy invariant and show that the sheaf is unramified if and only ...
WebSummary. In this paper, we study the Nisnevich sheafification é H ét 1 ( G) of the presheaf associating to a smooth scheme the set of isomorphism classes of G -torsors, for a …
WebNice survey: A^1-homotopy theory and contractible varieties: a survey ; Affine representability results in A1-homotopy theory: vector bundles , principal bundles and homogeneous spaces , finite fields and complements ; On modules over motivic ring spectra ; Fundamental classes in motivic homotopy theory ; Norms in motivic … simsbury ct gis mapWeb17 de jan. de 2024 · Remark. The usage of the 𝔸 1 \mathbb{A}^1 - prefix in the above definitions may seem strange since all these notions are simply inherited from the Nisnevich (∞,1)-topos. The point is that, when a smooth scheme X X is viewed as a motivic space, a localization functor is implicitly applied. The underlying Nisnevich (∞,1)-sheaf of the … simsbury ct hockey rinkWeb1 de dez. de 2008 · The results in this article are cobbled together from a variety of sources of inspiration. §3 on norms in the motivic homotopy theory of stacks is a relatively straightforward extensions of my ... rc newspaper\u0027sWeb2 Slice ltration Let S be a Noetherian scheme and SH(S) the stable motivic homotopy cat-egory de ned in [14, x5]. Recall that we denote by 1 T (X;x) the suspension spectrum of a pointed smooth ... simsbury ct honor roll patch 2020WebThe motivic homotopy theory is the homotopy theory for algebraic varieties and, more generally, for Grothendieck's schemes which is based on the analogy between the affine … simsbury ct high school honor roll patch 2017Web9 de fev. de 2024 · A motivic homotopy theory without $$\mathbb {A}^{1}$$ A 1 -invariance. 05 September 2024. Federico Binda. ... by a reciprocity law stating that the sum of the norms of the residues of a given element of the Milnor K-theory of the function field of \(\mathbb {P}_k^1\) at closed points is 0 where k is a given field. rc new england cruiseWeb8 de nov. de 2024 · Please join the Simons Foundation and our generous member organizations in supporting arXiv during our giving campaign September 23-27. 100% of … simsbury ct high school honor roll patch 2021