On the zeroth stable \( \mathbb{A}^1\)-homotopy group of a smooth projective variety (Q2397365)
From MaRDI portal
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the zeroth stable \( \mathbb{A}^1\)-homotopy group of a smooth projective variety |
scientific article |
Statements
On the zeroth stable \( \mathbb{A}^1\)-homotopy group of a smooth projective variety (English)
0 references
22 May 2017
0 references
Using Atiyah duality, certain properties of homotopy t-structure and strictly homotopy invariant presheaves, the author show that the 0-th stable \( \mathbb{A}^1\)-homotopy group of a smooth projective variety is identified with the group of oriented zero-cycles.
0 references
projective variety
0 references
motivic homotopy
0 references
zero-cycles
0 references
