Email this article On the Zeroth Stable \( \mathbb{A} \)1-Homotopy Group of a Smooth Projective Variety
- Authors: Ananyevskiy A.S.1
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Affiliations:
- St.Petersburg Department of the Steklov Mathematical Institute
- Issue: Vol 222, No 4 (2017)
- Pages: 367-369
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/239203
- DOI: https://doi.org/10.1007/s10958-017-3306-7
- ID: 239203
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Abstract
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.
About the authors
A. S. Ananyevskiy
St.Petersburg Department of the Steklov Mathematical Institute
Author for correspondence.
Email: alseang@gmail.com
Russian Federation, St.Petersburg
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