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, … Web2 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 ...

Norms in motivic homotopy theory Papers With Code

WebWe construct geometric compactifications of the moduli space $F_{2d}$ of polarized K3 surfaces, in any degree $2d$. Our construction is via KSBA theory, by ... Web17 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 … imaging center in mcdonough ga

Motivic Homotopy Theory Request PDF - ResearchGate

WebAlthough it might be possible to construct motivic norms using suitable categories with weak equivalences, as is done in [HHR16] in the case of equivariant homotopy theory, it would … Web1 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 ... 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 ... imaging center in livingston nj