Varieties and pure symbols
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912562350653440 |
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| author | Vishik, Alexander |
| author_facet | Vishik, Alexander |
| contents | In this article, we prove that the 2-isotropy of any projective variety is controlled by a pure symbol in the Milnor's K-theory (mod 2) of the flexible closure of the base field. We also show that such pure symbols control the 2-equivalence of field extensions as well as the numerical equivalence of algebraic cycles (with mod 2 coefficients). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_00592 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Varieties and pure symbols Vishik, Alexander Algebraic Geometry Algebraic Topology K-Theory and Homology 14C25, 19E15, 11E81 In this article, we prove that the 2-isotropy of any projective variety is controlled by a pure symbol in the Milnor's K-theory (mod 2) of the flexible closure of the base field. We also show that such pure symbols control the 2-equivalence of field extensions as well as the numerical equivalence of algebraic cycles (with mod 2 coefficients). |
| title | Varieties and pure symbols |
| topic | Algebraic Geometry Algebraic Topology K-Theory and Homology 14C25, 19E15, 11E81 |
| url | https://arxiv.org/abs/2509.00592 |