A remark on 0-cycles as modules over algebras of finite correspondences
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2023
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| _version_ | 1866916122781024256 |
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| author | Rovinsky, M. |
| author_facet | Rovinsky, M. |
| contents | Given a smooth projective variety $X$ over a field, consider the $\mathbb Q$-vector space $Z_0(X)$ of 0-cycles (i.e. formal finite $\mathbb Q$-linear combinations of the closed points of $X$) as a module over the algebra of finite correspondences. Then the rationally trivial 0-cycles on $X$ form an absolutely simple and essential submodule of $Z_0(X)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_13790 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A remark on 0-cycles as modules over algebras of finite correspondences Rovinsky, M. Algebraic Geometry Given a smooth projective variety $X$ over a field, consider the $\mathbb Q$-vector space $Z_0(X)$ of 0-cycles (i.e. formal finite $\mathbb Q$-linear combinations of the closed points of $X$) as a module over the algebra of finite correspondences. Then the rationally trivial 0-cycles on $X$ form an absolutely simple and essential submodule of $Z_0(X)$. |
| title | A remark on 0-cycles as modules over algebras of finite correspondences |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2302.13790 |