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| Main Author: | |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2605.04347 |
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| _version_ | 1866910194143854592 |
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| author | Huang, Chuhao |
| author_facet | Huang, Chuhao |
| contents | We show that every cycle in the degree $d$ algebraic cobordism group $Ω_d(X)$ of a smooth projective variety $X$ over a field of characteristic $0$ is smoothable when $2d<\dim(X)$, that is, it can be written as a linear combination of cycles represented by smooth closed subvarieties of $X$. This generalizes a result of Kollár and Voisin from Chow groups to algebraic cobordism groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_04347 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Smoothing low-dimensional cycles in algebraic cobordism Huang, Chuhao Algebraic Geometry We show that every cycle in the degree $d$ algebraic cobordism group $Ω_d(X)$ of a smooth projective variety $X$ over a field of characteristic $0$ is smoothable when $2d<\dim(X)$, that is, it can be written as a linear combination of cycles represented by smooth closed subvarieties of $X$. This generalizes a result of Kollár and Voisin from Chow groups to algebraic cobordism groups. |
| title | Smoothing low-dimensional cycles in algebraic cobordism |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2605.04347 |