On the Zeroth Stable \( \mathbb{A} \)1-Homotopy Group of a Smooth Projective Variety

Аннотация

The zeroth stable \( \mathbb{A} \)¹-homotopy group of a smooth projective variety is computed. This group is identified with the group of oriented 0-cycles on the variety. The proof heavily exploits properties of strictly homotopy invariant sheaves. Bibliography: 7 titles.